Question

mean proportion of 4/9 and 16/25 ?
Explain plz ​

Answer 1

Answer:

244/225

Step-by-step explanation:

4/9+16/25

100+144/225

=244/225

I hope you are helpful solutions

Answer 2

The mean proportional of 4/9 and 16/25 is 8/15

Given :

The numbers 4/9 and 16/25

To find :

The mean proportional of 4/9 and 16/25

Solution :

Step 1 of 2 :

Form the equation

Let x be the mean proportional of 4/9 and 16/25

By the given condition

$\displaystyle \sf{ \frac{4}{9} : x = x : \frac{16}{25} }$

Step 2 of 2 :

Find the mean proportional

$\displaystyle \sf{ \frac{4}{9} : x = x : \frac{16}{25} }$

$\displaystyle \sf{ \implies \frac{ \frac{4}{9} }{x} = \frac{x}{ \frac{16}{25} } }$

$\displaystyle \sf{ \implies {x}^{2} = \frac{4}{9} \times \frac{16}{25} }$

$\displaystyle \sf{ \implies x = \sqrt{\frac{4}{9} \times \frac{16}{25} }}$

$\displaystyle \sf{ \implies x = \frac{2}{3} \times \frac{4}{5} }$

$\displaystyle \sf{ \implies x = \frac{8}{15} }$

Hence mean proportional of 4/9 and 16/25 is 8/15

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Ratio 40cm : 2m simplest form

https://brainly.in/question/17017106

2. Ratio of 75 cm to 1 meter 25 cm

https://brainly.in/question/44034082