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Finding the Third Proportional to 269,898 and 396,099

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Solution

The third proportional to 269,898 and 396,099 is: 581,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,898 : 396,099 = 396,099 : x
  2. Step 2: Convert to fraction form
    269,898/396,099 = 396,099/x
  3. Step 3: Cross multiply
    269,898x = 396,099 × 396,099
  4. Step 4: Simplify right side
    269,898x = 156,894,417,801
  5. Step 5: Solve for x
    x = 156,894,417,801/269,898
  6. Step 6: Final answer
    x = 581,310.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.