Math, asked by avranilpakrashi, 1 year ago

the mean proportion between 1/2 and 128

Answers

Answered by vaibhav7839
44
mean proportion
a/b=b/c
b^2=ac
b^2=1/2×128
b^2=64
b=8
the mean proportion is 8
Answered by pulakmath007
4

The mean proportion between 1/2 and 128 is 8

Given : The numbers 1/2 and 128

To find : The mean proportion

Solution :

Step 1 of 2 :

Write down the given numbers

The given numbers are 1/2 and 128

Step 2 of 2 :

Find the mean proportion

Let x be the mean proportion

So by the given condition

\displaystyle \sf{   \frac{1}{2}  : x = x : 128}

\displaystyle \sf{ \implies   {x}^{2} = \frac{1}{2}   \times  128}

\displaystyle \sf{ \implies   {x}^{2} = 64}

\displaystyle \sf{ \implies  x =  \sqrt{64} }

\displaystyle \sf{ \implies  x =  8}

Hence the required mean proportion = 8

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