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Finding the Third Proportional to 428,857 and 932,413

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Solution

The third proportional to 428,857 and 932,413 is: 2,027,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,857 : 932,413 = 932,413 : x
  2. Step 2: Convert to fraction form
    428,857/932,413 = 932,413/x
  3. Step 3: Cross multiply
    428,857x = 932,413 × 932,413
  4. Step 4: Simplify right side
    428,857x = 869,394,002,569
  5. Step 5: Solve for x
    x = 869,394,002,569/428,857
  6. Step 6: Final answer
    x = 2,027,235.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.