Question

Find the number which has the same ratio to 5/9 as 2/7 has to 3/28

Answer 1

5/9 : x :: 2/7 : 3/28
multiply middle term together,and outer term together
$\frac{2x}{7} = \frac{5}{9} \times \frac{3}{28} = \frac{5}{84} \\ x = \frac{5}{84} \times \frac{7}{2} \\ x = \frac{5}{12 \times 2} \\ x = \frac{5}{24}$

is that number

Answer 2

Answer:

5/24

Step-by-step explanation:

as we have to find the ratio one number so that it equals to another ratio, that is called proportion. this proportion can be written as

$\frac{5}{9} :x ::\frac{2}{7} :\frac{3}{28}\\\\\frac{\frac{5}{9}}{x}=\frac{\frac{2}{7}}{\frac{3}{28}}\\\\\frac{5}{9}*\frac{3}{28}=x*\frac{2}{7}\\\\\frac{5}{12}=x*2\\\\x=\frac{5}{24}$

so the number which having same ratio is 5/24