Question

find the mean proportion between 24 and 54​

Answer 1

Answer:

36 is the mean proportion

Step-by-step explanation:

it is like that 24: x :: x:54

x×x=24×54

x2=1296

x=√1296

x=36

Answer 2

The mean proportion between 24 and 54 is 36.

Given: The two numbers: 24 and 54.

To Find: The mean proportion between 24 and 54.

Solution:

• The mean proportion is the same as the geometric mean.
• If we have two numbers 'm' and 'n', then the mean proportion between 'm' and 'n' can be calculated by the formula,

          m/x = x/n

       ⇒ x = √(mn)                                                     ...(1)

Where x = the mean proportion.

Coming to the numerical,

Let us assume that m=24 and n=54. We need to find the mean proportion 'x' here.

From (1), we can say that,

         x = √( m × n )

     ⇒ x = √( 24 x 54 )

     ⇒ x = 36.

Hence, the mean proportion between 24 and 54 is 36.

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