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Finding the Third Proportional to 323,622.39 and 485,433.61

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Solution

The third proportional to 323,622.39 and 485,433.61 is: 728,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,622.39 : 485,433.61 = 485,433.61 : x
  2. Step 2: Convert to fraction form
    323,622.39/485,433.61 = 485,433.61/x
  3. Step 3: Cross multiply
    323,622.39x = 485,433.61 × 485,433.61
  4. Step 4: Simplify right side
    323,622.39x = 235,645,789,110.84
  5. Step 5: Solve for x
    x = 235,645,789,110.84/323,622.39
  6. Step 6: Final answer
    x = 728,150.45

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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.