Question

find the mean of proportional between 3and 27​

Answer 1

Answer:

Step-by-step explanation:

Given :-

Mean Proportional between 3 and 27

To Find :-

Mean Proportional

Solution :-

Let the mean proportional be x.

According to the Question,

3 : x : : x : 27

⇒  3/x = x/27

By cross multiplication, we get

⇒  x² = 27 × 3

⇒  x²= 81

⇒  x = √81

⇒ x = 9

Hence, the mean of proportional between 3 and 27​ is 9.

Answer 2

ANSWER:-

•Mean Proportion:

When three numbers are continuous proportion then the middle term or number is called mean proportion.

a,b & c are continuous proportion, so

$= > \frac{a}{b} = \frac{b}{c} \\ (cross \: multiplication) \\ \\ = > {b}^{2} = ac$

Therefore,

•b² is mean proportion.

To find:

The mean of proportion between 3 & 27.

Solution:

Assume mean proportion be R.

We have,

⚫a= 3

⚫c= 27

Therefore,

=) R² = ac

=) R² = 3×27

=) R² = 81

=) R= √81

=) R= 9

Thus,

•The mean proportion is 9.

Hope it helps ☺️