Question

Find the mean proportional between 4 and 25.

Answer 1

Given:-

• Mean proportion of 4 and 25.

To Find:-

• Find mean proportion

Solution:-

Let's consider, the mean proportion be x.

Then,

$\sf \: 4 \ratio x \ratio \ratio \: x \ratio 25$

Now, put 4 and x in fraction and x and 25 in fraction

$\large \sf \implies \: \frac{4}{x} = \frac{x}{25}$

Now cross-multipling the terms

$\large \sf \implies \: {x}^{2} = 4 \times 25$

Now multiply the terms

$\large \sf \implies \: {x}^{2} = 100$

Now put square to the RHS side and then take square root

$\large \sf \implies \: x = \sqrt{100} \\ \large \sf = 10$

Hence,the mean proportion of 4 and 25 is 10.