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Finding the Third Proportional to 498,567 and 747,661

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Solution

The third proportional to 498,567 and 747,661 is: 1,121,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,567 : 747,661 = 747,661 : x
  2. Step 2: Convert to fraction form
    498,567/747,661 = 747,661/x
  3. Step 3: Cross multiply
    498,567x = 747,661 × 747,661
  4. Step 4: Simplify right side
    498,567x = 558,996,970,921
  5. Step 5: Solve for x
    x = 558,996,970,921/498,567
  6. Step 6: Final answer
    x = 1,121,207.32

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