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Finding the Third Proportional to 498,390 and 752,769

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Solution

The third proportional to 498,390 and 752,769 is: 1,136,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,390 : 752,769 = 752,769 : x
  2. Step 2: Convert to fraction form
    498,390/752,769 = 752,769/x
  3. Step 3: Cross multiply
    498,390x = 752,769 × 752,769
  4. Step 4: Simplify right side
    498,390x = 566,661,167,361
  5. Step 5: Solve for x
    x = 566,661,167,361/498,390
  6. Step 6: Final answer
    x = 1,136,983.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.