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Finding the Third Proportional to 324,755 and 485,812

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Solution

The third proportional to 324,755 and 485,812 is: 726,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,755 : 485,812 = 485,812 : x
  2. Step 2: Convert to fraction form
    324,755/485,812 = 485,812/x
  3. Step 3: Cross multiply
    324,755x = 485,812 × 485,812
  4. Step 4: Simplify right side
    324,755x = 236,013,299,344
  5. Step 5: Solve for x
    x = 236,013,299,344/324,755
  6. Step 6: Final answer
    x = 726,742.62

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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.