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Challenges on Proportions

If 2:6::a:9, ...

Question

If $2 : 6 :: a : 9$ , then the value of $a$ is

A

3

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B

9

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C

6

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Solution

The correct option is A 3
Given $2 : 6 :: a : 9$
We know that if two ratio are proportional to each other then product of the extremes is equal to product of the means.
Here, 2 & 9 are extremes and 6 & $a$ are means.
$∴$ $2 \times 9 = 6 \times a$
$\Rightarrow$ $\frac{18}{6} = a = 3$

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