Question

Find the mean proportional between $\text{0.4 and 2.5}$.

Answer 1

Step:To find the mean proportional.

Let the mean proportional between $\text{0.4 and 2.5}$ is $\text{a}$, it means,

$\text{0.4:a::a:2.5}$ becomes in proportion

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

$$\begin{gathered} \Rightarrow a\times a=0.4\times 2.5 \\ \Rightarrow a^2=1.00 \\ \Rightarrow a=\sqrt{1} \\ \Rightarrow a=1 \end{gathered}$$

Hence, the mean proportional between $\text{0.4 and 2.5}$ is $1$.