Finding the Third Proportional to 574 and 1,260
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Solution
The third proportional to 574 and 1,260 is: 2,765.85
Step by Step Solution
- Step 1: Write the proportion equation
574 : 1,260 = 1,260 : x - Step 2: Convert to fraction form
574/1,260 = 1,260/x - Step 3: Cross multiply
574x = 1,260 × 1,260 - Step 4: Simplify right side
574x = 1,587,600 - Step 5: Solve for x
x = 1,587,600/574 - Step 6: Final answer
x = 2,765.85
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.