Proportion

$9$ and $45$ are first and second terms respectively in a continued proportion, then the third proportional is _____.

What is the mean proportional between  $\left(15+\sqrt{200}\right)$and $\left(27+\sqrt{648}\right)$ ?

If $\left(32-x\right)$ is the mean proportional of $\left(86-x\right)$ and $\left(14-x\right)$, then find the value of $x$.

Find the third proportional to $x^{3}y \text{and }{x}^2{y}^2$.

Find the third proportional to the following.

$2 \mathrm{kg} 400\mathrm{g}$ and $400\mathrm{g}$

If the quantities $a, b, c, d$ are in continued proportion, prove that

$\frac{{\left(a-b\right)}^3}{{\left(b-c\right)}^3}=\frac{a}{d}$

Three numbers are in continued proportion. If the middle number is 18 and the sum of the first and the last is 39, find the numbers​.

If $a: b=3: 4, b: c=4: 7$, then $\frac{a+b+c}{c}$ is equal to

What is the third proportional to $16$ and $36?$

The third proportional to $({\mathrm{x}}^2-{\mathrm{y}}^2)$ and $(\mathrm{x}-\mathrm{y})$ is:

What is the difference in the mean proportional between $1.8$ and $3.2$ and the third proportional to $5$ and $3$?

The fourth proportion to $12, 18$ and $6$ is the same as the third proportion to $k$ and $6$. What is the value of $k$?

The mean proportional between $1.4\mathrm{gms}$ and $5.6\mathrm{gms}$ is _____

$4, *, 9,13\frac{1}{2}$ are in proportion. Then $*$ is _____.

The fourth proportional to $2a, a^2, c$ is _____.

The mean proportional between $25, 81$ is _____.

There are $150$ students in school. If the ratio of the number of boys to girls is $4 : 1$, then what is the mean proportional between the number of boys and girls in the school?

Three numbers $\mathrm{a}, \mathrm{b}$ and $\mathrm{c}$ are in proportion. If $3$ is subtracted from each number, the ratio of these numbers is $3 : 5 : 8$. Find the value of $(\mathrm{a} + \mathrm{b} + \mathrm{c})$.

What is the third proportional to $16$ and 24?

When $x$ is added to each of  $2, 3, 30 \mathrm{and} 35$, then the numbers obtained in this order, are in proportion. What is the mean proportional between $\left(x+7\right) \mathrm{and} \left(x-2\right)$?