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Finding the Third Proportional to 322,864 and 485,448

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Solution

The third proportional to 322,864 and 485,448 is: 729,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,864 : 485,448 = 485,448 : x
  2. Step 2: Convert to fraction form
    322,864/485,448 = 485,448/x
  3. Step 3: Cross multiply
    322,864x = 485,448 × 485,448
  4. Step 4: Simplify right side
    322,864x = 235,659,760,704
  5. Step 5: Solve for x
    x = 235,659,760,704/322,864
  6. Step 6: Final answer
    x = 729,904.11

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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.