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Finding the Third Proportional to 498,365 and 747,391

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Solution

The third proportional to 498,365 and 747,391 is: 1,120,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,365 : 747,391 = 747,391 : x
  2. Step 2: Convert to fraction form
    498,365/747,391 = 747,391/x
  3. Step 3: Cross multiply
    498,365x = 747,391 × 747,391
  4. Step 4: Simplify right side
    498,365x = 558,593,306,881
  5. Step 5: Solve for x
    x = 558,593,306,881/498,365
  6. Step 6: Final answer
    x = 1,120,851.80

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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.