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Finding the Third Proportional to 217,976 and 327,692

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Solution

The third proportional to 217,976 and 327,692 is: 492,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,976 : 327,692 = 327,692 : x
  2. Step 2: Convert to fraction form
    217,976/327,692 = 327,692/x
  3. Step 3: Cross multiply
    217,976x = 327,692 × 327,692
  4. Step 4: Simplify right side
    217,976x = 107,382,046,864
  5. Step 5: Solve for x
    x = 107,382,046,864/217,976
  6. Step 6: Final answer
    x = 492,632.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.