Check whether the following form a proportion? a) 15 cm, 1 m and Rs. 45, Rs. 300

Question

Check whether the following form a proportion? Write middle terms and extremes where the ratios form a proportion. 

a) 15 cm, 1 m and Rs. 45, Rs. 300 

b) 20 ml, 2 l and Rs. 100, Rs. 10,000

Answer 1

a) 15 cm, 1 m and Rs. 45, Rs. 300 

Given values are 15 cm, 1 m and Rs. 45,Rs. 300 

Ratio of lengths = 15 cm : 1 m (convert metres into cm) 

= 15 cm : 100 cm = 3 : 20 (write in simplest form) 

Ratio of amounts = Rs. 45 : Rs. 300 = 45 : 300 = 3 : 20 

The two ratios are equal. 

So, 3 : 20 :: 3 : 20 

They are in proportion. 

Middle terms are 20, 3 and extremes are 3, 20.

b) 20 ml, 2 l and Rs. 100, Rs. 10,000 

Given values are 20 ml, 2 l and Rs. 100, Rs. 10,000

 Ratio of quantities = 20 ml : 2 l (convert litres into ml) 

= 20 : 2000 (write in simplest form) 

= 1 : 100 

Ratio of amounts = Rs. 100 : Rs. 10,000

(write in simplest form) 

= 1 : 100 

The two ratios are equal. 

So, 1 : 100 = 1 : 100 

∴ They are in proportion. 

Middle terms are 100, 1 and extremes are 1, 100.