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Finding the Third Proportional to 324,750 and 485,805

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Solution

The third proportional to 324,750 and 485,805 is: 726,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,750 : 485,805 = 485,805 : x
  2. Step 2: Convert to fraction form
    324,750/485,805 = 485,805/x
  3. Step 3: Cross multiply
    324,750x = 485,805 × 485,805
  4. Step 4: Simplify right side
    324,750x = 236,006,498,025
  5. Step 5: Solve for x
    x = 236,006,498,025/324,750
  6. Step 6: Final answer
    x = 726,732.87

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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.