In each of the following, check whether the given two ratios form a proportion or not.a) $ 12: 15 $ and $ 20: 25 $
b) $ 10: 12 $ and $ 15: 18 $

Given :

a) \( 12: 15 \) and \( 20: 25 \)
b) \( 10: 12 \) and \( 15: 18 \)

To find :

We have to check whether the given two ratios form a proportion or not.

Solution :

We know that,

If $a,b,c,d$ are in proportion then,

$\frac{a}{b} = \frac{c}{d}$ 

This implies,

$ad = bc$

 a) $12:15$ and $20:25$

$12\times25 =300$

$15\times20 = 300$

Therefore, $12:15$ and $20:25$ are in proportion.

b) $10:12$ and $15:18$

$10\times18 = 180$

$12\times15 =180$

Therefore, $10:12$ and $12:15$ are in proportion.

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Updated on: 10-Oct-2022

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