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Finding the Third Proportional to 498,545 and 747,629

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Solution

The third proportional to 498,545 and 747,629 is: 1,121,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,545 : 747,629 = 747,629 : x
  2. Step 2: Convert to fraction form
    498,545/747,629 = 747,629/x
  3. Step 3: Cross multiply
    498,545x = 747,629 × 747,629
  4. Step 4: Simplify right side
    498,545x = 558,949,121,641
  5. Step 5: Solve for x
    x = 558,949,121,641/498,545
  6. Step 6: Final answer
    x = 1,121,160.82

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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.