Question

three nin zero number m, n, p will be in continued proportion

Answer 1

n^square=mp
if those numbers are in continued proportion then
n^2=mp
hope it helps.

Answer 2

m, n, p three non-zero number will be in continued proportion when $\boldsymbol{n}^{2}=\boldsymbol{m} \boldsymbol{p}$

Solution:

The 3 non-zero numbers are m, n and p follows continued proportion.

Continued proportion means a proportion in which the following ratio after the defined ratio is pre-defined or prequel of the next ratio such as,m: n :: n: p

Continued proportion can also be known as mean proportional.

By the rule, “Product of means = Product of extremes”

And if the following numbers are continued in nature then $\boldsymbol{n}^{2}=\boldsymbol{m} \boldsymbol{p} .$