Question

3. Find the mean proportional between

(a) 1 4/5 and 4/5​

Answer 1

Step-by-step explanation:

mean proportion is sqrt of (1/4*1/25)

=(1/2*1/5)

=1/10 Try to solve this question this type this example

Answer 2

The correct answer is $\frac{6}{5}$.

Given: Rational numbers for which mean proportional is to be calculated = $1\frac{4}{5}$ and $\frac{4}{5}$.

To Find: Mean proportion of $1\frac{4}{5}$ and $\frac{4}{5}$.

Solution:

Mean proportion of two numbers a and b is calculated as = $\frac{a}{x}=\frac{x}{b}$

$1\frac{4}{5}$ = $\frac{5*1+4}{5} = \frac{9}{5}$

a = $\frac{9}{5}$ and b = $\frac{4}{5}$.

$\frac{a}{x}=\frac{x}{b}$

$\frac{\frac{9}{5} }{x}= \frac{x}{\frac{4}{5} }$

$\frac{9}{5x}=\frac{5x}{4}$

$25x^{2} =36$

$x^{2} =\frac{36}{25}$

x = $\frac{6}{5}$

Hence, the mean proportion of  $1\frac{4}{5}$ and $\frac{4}{5}$ is $\frac{6}{5}$.

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