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Finding the Third Proportional to 498,354 and 747,377

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Solution

The third proportional to 498,354 and 747,377 is: 1,120,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,354 : 747,377 = 747,377 : x
  2. Step 2: Convert to fraction form
    498,354/747,377 = 747,377/x
  3. Step 3: Cross multiply
    498,354x = 747,377 × 747,377
  4. Step 4: Simplify right side
    498,354x = 558,572,380,129
  5. Step 5: Solve for x
    x = 558,572,380,129/498,354
  6. Step 6: Final answer
    x = 1,120,834.55

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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.