Chapter 12, Problem 11QC

To determine

To calculate:To determine whether the pair of ratios forms a proportion.

Answer to Problem 11QC

Pair of ratios are NOT in proportion

Explanation of Solution

Given information:Pair of ratios is $\frac{2}{9}$ and $\frac{3}{18}$

Formula Used: Proportion is a statement when two ratios are equal. It can be written in two ways:

  $\frac{a}{b}=\frac{c}{d}$ or $a:b=c:d$

Also, if the cross product two ratios are equal, then ratios are in Proportio

Calculation:

Pair of ratios is given as follows:

  $\frac{2}{9}$ and $\frac{3}{18}$

Finding the cross product of above ratios:

  $\begin{array}{l}2\times 18=36\\ 3\times 9=27\end{array}$

Since $2\times 18\ne 3\times 9$

Since the cross product of ratios are not equal, thus the pair of ratios are not in proportion

Conclusion:

Hence, pair of ratios are NOT in proportion