Finding the Third Proportional to 280 and 539
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Solution
The third proportional to 280 and 539 is: 1,037.58
Step by Step Solution
- Step 1: Write the proportion equation
280 : 539 = 539 : x - Step 2: Convert to fraction form
280/539 = 539/x - Step 3: Cross multiply
280x = 539 × 539 - Step 4: Simplify right side
280x = 290,521 - Step 5: Solve for x
x = 290,521/280 - Step 6: Final answer
x = 1,037.58
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.