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Finding the Third Proportional to 391,940 and 588,438

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Solution

The third proportional to 391,940 and 588,438 is: 883,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,940 : 588,438 = 588,438 : x
  2. Step 2: Convert to fraction form
    391,940/588,438 = 588,438/x
  3. Step 3: Cross multiply
    391,940x = 588,438 × 588,438
  4. Step 4: Simplify right side
    391,940x = 346,259,279,844
  5. Step 5: Solve for x
    x = 346,259,279,844/391,940
  6. Step 6: Final answer
    x = 883,449.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.