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DIFFERENCE BETWEEN PROPORTION & RATIO

__DIFFERENCE BETWEEN PROPORTION & RATIO -__

**Proportion and ratio are both mathematical concepts used to compare quantities or parts of a whole, but they are used in slightly different ways and have distinct definitions:**

__1. Ratio:-__

**(i) A ratio is a comparison of two or more quantities or numbers in relation to each other.**

**(ii) It is typically expressed as a fraction, with a colon (":"), or using the word "to."**

**(iii) Ratios are used to show the relative sizes or quantities of different parts of a whole or different components of a group.**

**(iv) Ratios do not have to be simplified to their simplest form.**

**(v) Example: If there are 4 red marbles and 6 blue marbles in a bag, the ratio of red marbles to blue marbles is 4:6 or 4/6, which can be simplified to 2:3 or 2/3.**

__2. Proportion:-__

**(i) A proportion is a statement that two ratios are equal to each other.**

**(ii) It is an equation formed by setting two ratios (fractions) equal to each other.**

**(iii) Proportions are often used to solve problems involving unknown quantities where you can set up a relationship between known and unknown values using the concept of equality of ratios.**

**(iv) Proportions must be simplified to their simplest form to determine if they are true or not.**

**(v) Proportions are written in the form of fractions or equations, such as:**

**a/b = c/d****a:b = c:d**

** Example: If you have a proportion such as 2/3 = 4/6, you can simplify both sides to 1/1, which means the two ratios are equal and form a true proportion. **

**In summary, a ratio is a comparison of two quantities, while a proportion is a statement that two ratios are equal. Ratios are used to express relationships between quantities, while proportions are used to solve problems involving equal ratios.**