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Finding the Third Proportional to 217,978 and 327,695

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Solution

The third proportional to 217,978 and 327,695 is: 492,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978 : 327,695 = 327,695 : x
  2. Step 2: Convert to fraction form
    217,978/327,695 = 327,695/x
  3. Step 3: Cross multiply
    217,978x = 327,695 × 327,695
  4. Step 4: Simplify right side
    217,978x = 107,384,013,025
  5. Step 5: Solve for x
    x = 107,384,013,025/217,978
  6. Step 6: Final answer
    x = 492,636.93

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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.