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Finding the Third Proportional to 499,098 and 747,789

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Solution

The third proportional to 499,098 and 747,789 is: 1,120,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,098 : 747,789 = 747,789 : x
  2. Step 2: Convert to fraction form
    499,098/747,789 = 747,789/x
  3. Step 3: Cross multiply
    499,098x = 747,789 × 747,789
  4. Step 4: Simplify right side
    499,098x = 559,188,388,521
  5. Step 5: Solve for x
    x = 559,188,388,521/499,098
  6. Step 6: Final answer
    x = 1,120,397.97

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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.