Question

find the third proportion for 25 and 100​

Answer 1

Answer:

x:25::100:x

$x {}^{2} = 25 \times100$

$x = \sqrt{25 \times 100}$

$x = \sqrt{2500}$

$x = 50$

Step-by-step explanation:

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Answer 2

We know that,

$\sf\bf\large{\green{\underbrace{a:b::b:c}}}$

On putting values, we get,

$\sf\bf{25:100::100:p}$

$\sf\bf{ \frac{25}{100} = \frac{100}{p} }$

$\sf\rightarrow \: \: {p \times 25 = 100 \times 100}$

$\sf\rightarrow \: \: {p \times 25 = 10000}$

$\sf\rightarrow \: \: {p = \cancel\frac{10000}{25} }$

$\sf \orange{\rightarrow \: \: {p=400}}$

$\sf \frak \pink{\underbrace{\underline { \therefore \: The \: third \: proportion \: is \: 400}}}$