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Finding the Third Proportional to 269,866 and 396,051

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Solution

The third proportional to 269,866 and 396,051 is: 581,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,866 : 396,051 = 396,051 : x
  2. Step 2: Convert to fraction form
    269,866/396,051 = 396,051/x
  3. Step 3: Cross multiply
    269,866x = 396,051 × 396,051
  4. Step 4: Simplify right side
    269,866x = 156,856,394,601
  5. Step 5: Solve for x
    x = 156,856,394,601/269,866
  6. Step 6: Final answer
    x = 581,238.08

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