Question

Find the mean proportional between $\text{5 and 125}$.

Answer 1

Step:To find mean Proportional.

Let the mean proportional between $\text{5 and 125}$ is $\text{a}$, it means,

$\text{5:a::a:125}$ becomes in proportion

We know that , $\text{Product of extremes terms = Product of means terms}$

$$\begin{gathered} \Rightarrow a\times a=5\times 125 \\ \Rightarrow a^2=625 \\ \Rightarrow a=\sqrt{625} \\ \Rightarrow a=25 \end{gathered}$$

Hence, the mean proportional between $\text{5 and 125}$ is $25$.