Question

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where ratios form a proportion.

$200ml:2.5litre$and $₹4:₹50$

Answer 1

Given

$200ml:2.5litre$and $₹4:₹50$

We have, $200ml:2.5litre$

$\begin{array}{rcl}\because 1litre& =& 1000ml\\ & \Rightarrow & 2.5litre=2.5\times 1000\\ & =& 2500ml\\ & \Rightarrow & 200ml:2.5litre=200ml:2500ml\\ & =& 200:2500\\ & =& \frac{200}{2500}\\ & =& \frac{2}{25}\\ & & \end{array}$

and,

$\begin{array}{rcl}₹4:₹50& =& 4:50\\ & =& \frac{4}{50}\\ & =& \frac{2}{25}\end{array}$

Since, both the ratios are equal

Hence, they are in proportion

The middle terms are $2.5litre,₹4$

The extreme terms are $200ml,₹50$