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Finding the Third Proportional to 392,892.50 and 581,972.25

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Solution

The third proportional to 392,892.50 and 581,972.25 is: 862,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,892.50 : 581,972.25 = 581,972.25 : x
  2. Step 2: Convert to fraction form
    392,892.50/581,972.25 = 581,972.25/x
  3. Step 3: Cross multiply
    392,892.50x = 581,972.25 × 581,972.25
  4. Step 4: Simplify right side
    392,892.50x = 338,691,699,770.06
  5. Step 5: Solve for x
    x = 338,691,699,770.06/392,892.50
  6. Step 6: Final answer
    x = 862,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.