Question

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$class \: 7$
ANSWER IF U KNOW ​

Answer 1

$\underline{\underline{\bold{Question:}}}$

$\mathbf{If\quad A=\dfrac{1}{3}\;B\;\;and\;\;B=\dfrac{1}{2}\;C\;,\;then\;A:B:C=?}$

$\mathfrak{Answer:}$

= 1 : 3 : 6 .

$\mathfrak{Step-by-Step\;Explanation:}$

$\mathfrak{According\;to\;Question:}\\\\\\\implies\bold{A=\dfrac{1}{3}\;B}\\\\\\\implies\bold{\dfrac{A}{B}=\dfrac{1}{3}}\\\\\\\implies\bold{A:B=1:3.}\\\\\\\bold{Again:}\\\\\\\implies\bold{B=\dfrac{1}{2}C}\\\\\\\implies\bold{\dfrac{B}{C}=\dfrac{1\times 3}{2\times 3}}\\\\\\\implies\bold{B:C=3:6.}$

Now we have :

• A : B = 1 : 3
• B : C = 3 : 6.

So

A : B : C = 1 : 3 : 6.

$\boxed{\boxed{\bold{A:B:C=1:3:6.}}}\\\\\\\mathfrak{Extra\;info:}\\\\\\\bold{1.Mean\;Proportion=\sqrt{ab.}}\\\\\\\bold{2.Third\;Proportion=\dfrac{b^2}{a}.}$

Answer 2

Solution :

Given -

➨ A = 1/3 B

➨ A/B = 1/3

Then ,

➨ A : B = 1 : 3

Now ,

➨ B = 1/2 C

➨ B/C = 1/3 × 2/3

Then ,

➨ B : C = 3 : 6

So , Now the value are :-

➨ A : B = 1 : 3

➨ B : C = 3 : 6

Hence ,

➨ A : B : C = 1 : 3 : 6