Question: Both the sentences above, mean the same thing? can we use proportional and measure interchangeably?

Posted by: Kk on 12.06.2022

Answer:  Yes. Both the statements  mean  the same. When two variables  are in direct proportion to one  another one variable will represent the other variable to some scale or one variable is a measure of the other. In that sense proportion and measure  can be used interchangeably.

For example for a given impedance, the current in a circuit is directly proportional to the voltage applied across the circuit. So the current in such a circuit is a measure of the voltage across the circuit and vice versa. Many measuring instruments use this proportionality or the principle  of one being the measure of the   other to measure various quantities.A spring balance measures the proportional strain produced in the  spring to measure the force(weight) applied. Similarly a mercury thermometer measures the expansion of the mercury column to measure the temperature of the object.

But in some  instances the value of one variable may be in direct proportion to more than one variable. For example, while the radius  of a circle is a measure of its circumference,the radius of a cylinder is not a measure of the surface area,as surface area is proportional to both the radius and height of the cylinder. With this thing in the mind ,direct proportion  and measure can be used interchangeably.

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