Chapter 8.1, Problem 9WE

To determine

To find the mean proportional between the pair of numbers.

Answer to Problem 9WE

The mean proportional is $6$ .

Explanation of Solution

Given information:

The given pair of numbers are:

  $2\text{ and 18}$

Calculation :

Let the mean proportional be $b$ .

The mean proportional can be calculated by:

  $\begin{array}{l}\frac{2}{b}=\frac{b}{18}\\ b^2=2\times 18\\ b^2=36\\ b=\sqrt{36}\\ b=6\end{array}$

Hence, the mean proportional is $6$ .