Chapter 8, Problem 4RP

To determine

To find the geometric mean between 3 and 6.

Answer to Problem 4RP

The geometric mean between 3 and 6 is 4.24

Explanation of Solution

Given information:

First and fourth numbers are 3 and 6 respectively.

Formula used:

In a mean proportion, the means are the same.

Proportion is $\frac{a}{x}=\frac{x}{r}$

Calculation:

  $\begin{array}{l}\frac{a}{x}=\frac{x}{r}\\ \therefore \frac{3}{x}=\frac{x}{6}\\ \therefore x^2=18\\ \therefore x=\sqrt{18}\\ \therefore x=4.24\end{array}$