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Ratios and Proportions

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The ratio of one quantity to an other is a fraction - and the number of times one quantity is contained in another quantity of the same kind.

The ratio between two quantities is the quotient obtained by dividing the first quantity by the second.

Example - Ratio

The ratio between 3 and 6 can be expressed as

3 / 6 = 1 / 2 = 0.5

Ratio can also be indicated by the sign ":" - like 3 : 6 or 1 : 2 .

Reciprocal or Inverse Ratio

The reciprocal or inverse ratio is the opposite of the original ratio.

Example the Inverse Ratio

The inverse ratio between 6 and 3 can be expressed as

6 : 3  = 2 : 1 = 2


Proportion is the equality of ratios.

Example - Proportion

1 : 2 = 3 : 6


1 : 2 :: 3 : 6

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Related Topics


Basic engineering data. SI-system, unit converters, physical constants, drawing scales and more.


Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

Related Documents

Energy Balance and Energy Ratio

Energy balance and energy payback ratio.


Law of fractions

Movement Ratio

Machines and movement ratio (velocity ratio).


Working with relative values.

Poisson's Ratio

When a material is stretched in one direction it tends to get thinner in the other two directions.

Poisson's Ratios Metals

Some metals and their Poisson's Ratios.

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