Question

Check if the following ratios are in proportion. Also, write the middle terms and extreme terms when ratios are in proportion.

$50cm:2m::₹150:₹600$

Answer 1

Step-1: write $a,b,candd$ from $50cm:2m::₹150:₹600$as it is written in the form of $a:b::c:d$

Here, $a=50cm$ $b=2m$ $c=₹150$ $d=₹600$

Step-2: Convert $2m$into $cm$

$2m=2\times 100=200cm$ (As $1m=100cm$)

Now, $50cm:2m::₹150:₹600$is equivalent to $50cm:200cm::₹150:₹600$

$a=50cm$ $b=200cm$ $c=₹150$ $d=₹600$

Step-3: Write $a,b,candd$in the form of $\frac{a}{b}and\frac{c}{d}$and simplify it

$\frac{a}{b}=\frac{50}{200}$( Simplify $\frac{50}{200}$by taking a common factor $50$in numerator and denominator separately )

$\frac{a}{b}=\frac{1}{4}$

Now, $\frac{c}{d}=\frac{150}{600}$ (Simplify $\frac{150}{600}$by taking a common factor $150$in numerator and denominator separately )

$\frac{c}{d}=\frac{1}{4}$

Step-4: Check whether $\frac{a}{b}=\frac{c}{d}$or $not$

yes, $\frac{a}{b}=\frac{c}{d}$ or $\frac{1}{4}=\frac{1}{4}$

Hence, $50cm:2m::₹150:₹600$are in proportion.

Step-5: Write middle terms and extreme terms

$middleterms:-$$b=2m$and $c=₹150$

$Extremeterms:-$$a=50cm$and $d=₹600$

Hence, $50cm:2m::₹150:₹600$ are in proportion and $middleterms:-$$b=2m$and $c=₹150$$Extremeterms:-$$a=50cm$and $d=₹600$