Question

mean proportional of 1/2 and 128

Answer 1

Answer: mean proportional is 8

Step-by-step explanation: mean proportion

a/b=b/c

b^2=ac

b^2=1/2×128

b^2=64

b=8

Answer 2

Given,

mean proportion of $\frac{1}{2}$ and $128$

• We have to find the mean proportion of given numbers
• Mean proportion: The mean proportion between terms of a ratio is calculated by taking the square root of the product of two quantities in a ratio.
• For example, in the proportion $p:q::r:s$,
• we can calculate the mean proportion for the ratio $p:q$ by calculating the square root of the product of the quantity $p$ and $q$.  

So,

Let, the mean proportional number be $b$

We can written as,

$\frac{1}{2}:b::b:128$

$\frac{\frac{1}{2} }{b} =\frac{b}{128}$

$\frac{128}{2}=b^{2}$

$b^{2}=64$

$b=\sqrt{64}$

$b= 8$

Therefore, the mean proportional of $\frac{1}{2}$ and $128$ is $8$.