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Finding the Third Proportional to 394,472 and 864,027

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Solution

The third proportional to 394,472 and 864,027 is: 1,892,511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,472 : 864,027 = 864,027 : x
  2. Step 2: Convert to fraction form
    394,472/864,027 = 864,027/x
  3. Step 3: Cross multiply
    394,472x = 864,027 × 864,027
  4. Step 4: Simplify right side
    394,472x = 746,542,656,729
  5. Step 5: Solve for x
    x = 746,542,656,729/394,472
  6. Step 6: Final answer
    x = 1,892,511.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.