Q1
What is continued proportion?
Aa:b = b:c relationship
BOnly a:b relationship
CNo specific relationship
DA single ratio only
ICSEClass 10 (ICSE)MathematicsCh 7 · Topic 1
Ratio and Proportion
Ratio and proportion, extending earlier concepts, involve solving more complex problems including continued proportion and its applications.
Core concept
Continued proportion involves three or more quantities where the ratio between consecutive terms remains constant, like a:b = b:c.
How it works
If a:b = b:c, then b is called the mean proportional, calculated as b = √(a×c).
Why it matters
Properties of proportion, like invertendo, alternendo, and componendo-dividendo, help simplify and solve complex proportion problems.
Key detail
Ratio and proportion applications extend to real-life situations like mixing solutions, scaling recipes, and financial calculations.
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• Continued proportion: a:b = b:c.
• b is the mean proportional.
• b = √(a×c).
• Properties: invertendo, alternendo, componendo-dividendo.
• These simplify complex proportion problems.
• Applications include mixing solutions.
• They also include scaling recipes.
• Financial calculations also use these concepts.