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Finding the Third Proportional to 498,366 and 747,399

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Solution

The third proportional to 498,366 and 747,399 is: 1,120,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366 : 747,399 = 747,399 : x
  2. Step 2: Convert to fraction form
    498,366/747,399 = 747,399/x
  3. Step 3: Cross multiply
    498,366x = 747,399 × 747,399
  4. Step 4: Simplify right side
    498,366x = 558,605,265,201
  5. Step 5: Solve for x
    x = 558,605,265,201/498,366
  6. Step 6: Final answer
    x = 1,120,873.55

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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.