MathsRatio and ProportionsProportion V2Basic Concepts in Proportion – Part 1

Basic Concepts in Proportion – Part 1

Table of Contents

  • Terms used in Proportion
  • Summary
  • What’s Next?

In the previous segment of Class 6 Maths, we understood the logic behind the proportionality test. Here let us learn about the terms used in proportion.

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    What are the terms used in proportion?

    Consider two ratios a : b and c : d, such that ? = ? . Thus, a : b : : c : d.

    ? ?

    Here, a is known as the first term, b is known as the second term, c is known as the third term, and d is known as the fourth term.

    The terms a and d are at the extreme ends and hence, known as the extremes. The terms b

    and c are in the middle and hence, known as the means.

    When the terms a, b, c, and d are in proportion, that is a : b : : c : d, the product of extremes = the product of means. That is, a x d = b x c.

    For example,

    Consider 6 ??? 3 . ????, 6 = 3 Thus, 6 : 10 : : 3 : 5.

    .

    10 5 10 5

    Hence, 6, 10, 3, and 5 are in proportion. 6 and 5 are the extremes while 10 and 3 are the means. Product of the extremes = 6 x 5 = 30.

    Product of the means = 10 x 3 = 30.

    Thus, the product of extremes = the product of means.

    Summary

    Terms used in Proportion

    • For a : b : : c : d,

    – a is the first term, b is the second term

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