Proportion - how to see if ratios are in proportion

TL;DR

Learn how to determine if two sets of ratios are in proportion using cross multiplication and solve proportion problems in this video.

Transcript

good day welcome to techmath channel what we're going to be having a look at in this video is ratios and proportion okay and pretty much how we can see whether or not two sets of ratios are in proportion so what do I mean by this well consider we have two ratios uh say it was the amount of cordial we were putting in water and I'll draw the amount o... Read More

Key Insights

• 🥳 Ratios and proportions are used to compare quantities and determine if they are in equivalence.
• 😵 Cross multiplication is a method used to compare ratios and determine if they are in proportion.
• 😵 Proportion problems can be solved using algebraic techniques, such as setting up ratios as fractions and using cross multiplication to find unknown quantities.
• 🥳 Understanding ratios and proportions is important in various fields, such as cooking, chemistry, and finance.
• 🥳 Keeping ratios in proportion ensures that the desired balance or strength is maintained.
• 🥳 Ratios can be compared by examining both the numerator and denominator values.
• 😵 Cross multiplication is a straightforward method to compare and evaluate the equality of ratios.

Questions & Answers

Q: What is the purpose of determining if two sets of ratios are in proportion?

Determining if two sets of ratios are in proportion helps identify whether the quantities being compared have the same strength or equivalence.

Q: How can cross multiplication be used to compare ratios?

Cross multiplication involves multiplying the numerator of one ratio by the denominator of the other and vice versa. If the results are equal, the ratios are said to be in proportion.

Q: Can cross multiplication be used to solve proportion problems?

Yes, cross multiplication can be used to solve proportion problems. By setting the given ratios equal to each other, cross multiplying, and solving for the unknown quantity, the problem can be solved.

Q: How can algebraic techniques be applied to proportion problems?

Algebraic techniques, such as setting up the given ratios as fractions and using cross multiplication, can be used to solve proportion problems and find the value of unknown quantities.

Summary & Key Takeaways

• The video explains how to determine if two sets of ratios are in proportion by comparing the quantities and their ratios.

• The concept of cross multiplication is introduced as a method to compare and determine the equality of ratios.

• The video also demonstrates how to solve proportion problems, such as finding the unknown quantity needed to keep two ratios in proportion, using algebraic techniques.