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Finding the Third Proportional to 323,769 and 485,654

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Solution

The third proportional to 323,769 and 485,654 is: 728,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,769 : 485,654 = 485,654 : x
  2. Step 2: Convert to fraction form
    323,769/485,654 = 485,654/x
  3. Step 3: Cross multiply
    323,769x = 485,654 × 485,654
  4. Step 4: Simplify right side
    323,769x = 235,859,807,716
  5. Step 5: Solve for x
    x = 235,859,807,716/323,769
  6. Step 6: Final answer
    x = 728,481.75

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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.