State the following ratios are in proportion or not: $15 : 18 a n d 10 : 12$ .

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Solution

Step 1: Find the smallest form of the ratios
$15 : 18 = \frac{15}{18} = \frac{15 \div 3}{18 \div 3} = \frac{5}{6} = 5 : 6$
$10 : 12 = \frac{10}{12} = \frac{10 \div 2}{12 \div 2} = \frac{5}{6} = 5 : 6$
Step 2: Check the ratios are equal or not
Ratios $15 : 18 a n d 10 : 12$ are equal.
Hence, $15 : 18 a n d 10 : 12$ are in proportion.

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