Question

what
is Mean proportional
What
between the MPs of
(2/7 & 32/343) and (2 & 1/5000)?
​

Answer 1

Answer:

noun Mathematics.

(between two numbers a and b) a number x for which a/x = x/b: The number 3 is a mean proportional between 1 and 9.

Step-by-step explanation:

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Answer 2

Calculation,

$\[\frac{2}{7}\& \frac{{32}}{{343}}\]$

$\[2\& \frac{1}{{5000}}\]$

Solution,

Consider a, b, c are in mean proportion,

$\[b = \sqrt {ac} \]$

Calculation of mean proportion of $\[\frac{2}{7}\& \frac{{32}}{{343}}\]$,

$\[ = \sqrt {\frac{2}{7} \times \frac{{32}}{{343}}} \]$

$\[ = \sqrt {\frac{{62}}{{2401}}} \]$

$\[ = 0.161\]$

Hence the mean proportion is $\[0.161\]$.

Calculate the mean proportion of $\[2\& \frac{1}{{5000}}\]$

$\[ = \sqrt {2 \times \frac{1}{{5000}}} \]$

$\[ = \sqrt {\frac{1}{{2500}}} \]$

$\[ = \frac{1}{{50}}\]$

Hence the mean proportion is $\[\frac{1}{{50}}\]$.