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Finding the Third Proportional to 391,800 and 581,940

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Solution

The third proportional to 391,800 and 581,940 is: 864,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,800 : 581,940 = 581,940 : x
  2. Step 2: Convert to fraction form
    391,800/581,940 = 581,940/x
  3. Step 3: Cross multiply
    391,800x = 581,940 × 581,940
  4. Step 4: Simplify right side
    391,800x = 338,654,163,600
  5. Step 5: Solve for x
    x = 338,654,163,600/391,800
  6. Step 6: Final answer
    x = 864,354.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.