64 : 100 : : 16 : ?

Explanation

The first ratio is 64 : 100. Let’s analyze the numbers:

• 64 = 8² (square of 8)
• 100 = 10² (square of 10)

The relationship is based on the squares of numbers.

For the second pair, 16 : ?:

• 16 = 4² (square of 4)
• The missing number must be 6² = 36.

The proportion becomes: 64 : 100 = 16 : 36

Simplify both ratios:

64 : 100 = 8 : 10

16 : 36 = 4 : 6 = 8 : 10

Both ratios are equal, confirming that the missing number is 36.

Final Answer: 36