{"id":622874,"date":"2023-06-20T22:19:29","date_gmt":"2023-06-20T16:49:29","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=622874"},"modified":"2025-02-28T18:01:51","modified_gmt":"2025-02-28T12:31:51","slug":"proportion-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/proportion-formula\/","title":{"rendered":"Proportion Formula\u00a0"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/proportion-formula\/#Introduction_on_Proportion_Formula\" title=\"Introduction on Proportion Formula\">Introduction on Proportion Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/proportion-formula\/#What_is_the_Proportion_Formula\" title=\"What is the Proportion Formula?\">What is the Proportion Formula?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/proportion-formula\/#Proportion_Formula\" title=\"Proportion Formula\">Proportion Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/proportion-formula\/#Solved_Examples_on_Proportion_Formula\" title=\"Solved Examples on Proportion Formula\">Solved Examples on Proportion Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/proportion-formula\/#Frequently_Asked_Questions_on_Proportion_Formula\" title=\"Frequently Asked Questions on Proportion Formula\">Frequently Asked Questions on Proportion Formula<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_on_Proportion_Formula\"><\/span>Introduction on Proportion Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Before we begin with the proportion formula, let us first recall the concept of proportion. If two ratios are equal, they are said to be in proportion. If a, b, c, d are the four elements in proportion then it means that a\/b = c\/d. The elements a and d are called extremes, while b and c are called mean terms. In the ratio, the product of means equals the product of extremes. Any two ratios are said to be equal if their cross-products are equal. Let us understand the proportion formula using solved examples.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Proportion_Formula\"><\/span>What is the Proportion Formula?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>According to the definition of proportion, when two ratios are equivalent, they are in proportion. The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as,<\/p>\n<p>a : b :: c : d = a\/b = c\/d<\/p>\n<h2><\/h2>\n<h2><span class=\"ez-toc-section\" id=\"Proportion_Formula\"><\/span>Proportion Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>a : b :: c : d = a\/b = c\/d<\/p>\n<p>where,<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">a, d = Extreme terms<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">b, c = Mean terms<\/li>\n<\/ul>\n<p>The other formulas related to proportion are:<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">The product of means = the product of extremes. This can be written as ad = bc<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">There are two other proportional formulas based on direct or indirect variation. If two quantities x and y are in direct proportion, then y = kx and when two quantities x and y are in indirect proportion, then y = k\/x, where k is the constant of proportionality.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Solved_Examples_on_Proportion_Formula\"><\/span>Solved Examples on Proportion Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Example 1: What is the value of x in 12 : x :: 4 : 5?<\/p>\n<p>Solution:<\/p>\n<p>Using the proportion formula,<\/p>\n<p>a : b :: c : d = a\/b = c\/d<\/p>\n<p>12\/x = 4\/5<\/p>\n<p>x = 15<\/p>\n<p>Therefore, the value of x = 15<\/p>\n<p>&nbsp;<\/p>\n<p>Example 2: Sam runs 6 miles in 30 minutes. At this rate, how far could he run in 45 minutes?<\/p>\n<p>Solution:<\/p>\n<p>Let us assume the unknown quantity here to be x.<\/p>\n<p>Using the proportion formula,<\/p>\n<p>6 : 30 :: x : 45 = 6\/30 = x\/45<\/p>\n<p>x = 9 miles<\/p>\n<p>Therefore, the distance covered by Sam in 45 mins = 9 miles.<\/p>\n<p>&nbsp;<\/p>\n<p>Example 3: Jane walked 4 miles in 30 minutes. At this rate, how far could she walk in 60 minutes?<\/p>\n<p>Solution:<\/p>\n<p>Let us assume the unknown quantity here to be x.<\/p>\n<p>Using the proportion formula,<\/p>\n<p>4 : 30 :: x : 60<\/p>\n<p>4\/30 = x\/60<\/p>\n<p>x = 8<\/p>\n<p>Therefore, the distance covered by Jane in 60 minutes is 8 miles.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Proportion_Formula\"><\/span>Frequently Asked Questions on Proportion Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1: What is Meant by Proportion Formula?<\/p>\n<p>Answer: Any equation is said to be in proportion when the elements in them are in proportion. That means if the elements in an equation are a, b, c, and d, then the equation would be in proportion when a, b, c, and d are in proportion. The elements a and d are called extremes, while b and c are called mean terms. In the ratio, the product of means equals the product of extremes. Any two ratios are said to be equal if their cross-products are equal. The formula is a : b :: c : d = a\/b = c\/d.<\/p>\n<p>&nbsp;<\/p>\n<p>2: What is the Formula to Find the Proportion of a Value?<\/p>\n<p>Answer: The formula to find the proportion of a value is:<\/p>\n<p>a : b :: c : d = a\/b = c\/d<\/p>\n<p>where,<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"3\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">a, d = Extreme terms<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"3\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">b, c = Mean terms<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>3: How to Calculate a Value Using the Proportion Formula?<\/p>\n<p>Answer: According to the definition of proportion, when two ratios are equivalent, they are in proportion. The proportion formula is used to depict if two ratios or fractions are equal. We can find the missing value by dividing the given values.<\/p>\n<p>The proportion formula can be given as a: b :: c : d = a\/b = c\/d<\/p>\n<p>where a and d are the extreme terms and b and c are the mean terms.<\/p>\n<p>&nbsp;<\/p>\n<p>4: Using the Proportion Formula, Determine the Value of x in x : 32 :: 78 : 64<\/p>\n<p>Answer: Using the proportion formula,<\/p>\n<p>a : b :: c : d = a\/b = c\/d<\/p>\n<p>x : 32 :: 78 : 64<\/p>\n<p>x\/32 = 78\/64<\/p>\n<p>x = 39<\/p>\n<p>Therefore, the value of x is 39.<\/p>\n<p>&nbsp;<\/p>\n<p>5: What are the two different types of proportions?<\/p>\n<p>Answer: The two different types of proportions are:<\/p>\n<p>Direct Proportion<\/p>\n<p>Inverse Proportion<\/p>\n<p>&nbsp;<\/p>\n<p>6: Find the means and extremes of the proportion 1: 2 :: 3: 4.<\/p>\n<p>Answer: In the given proportion 1: 2 :: 3: 4,<\/p>\n<p>Means are 2 and 3<\/p>\n<p>Extremes are 1 and 4.<\/p>\n<p>&nbsp;<\/p>\n<p>7: Can we express ratio in terms of fractions?<\/p>\n<p>Answer: Yes, we can express ratio in terms of fractions. For example, 3: 4 can be expressed as 3\/4.<\/p>\n<p>&nbsp;<\/p>\n<p>8: What is the concept of ratios?<\/p>\n<p>Answer: The concept of ratio defines us to compare two quantities while the proportion is an equation that shows that two ratios are equivalent.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction on Proportion Formula Before we begin with the proportion formula, let us first recall the concept of proportion. If [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Proportion Formula","_yoast_wpseo_title":"Proportion Formula\u00a0with Example - Infinity learn","_yoast_wpseo_metadesc":"Learn the simple formula for solving proportions in mathematics. 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