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Finding the Third Proportional to 217,953 and 327,147

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Solution

The third proportional to 217,953 and 327,147 is: 491,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,953 : 327,147 = 327,147 : x
  2. Step 2: Convert to fraction form
    217,953/327,147 = 327,147/x
  3. Step 3: Cross multiply
    217,953x = 327,147 × 327,147
  4. Step 4: Simplify right side
    217,953x = 107,025,159,609
  5. Step 5: Solve for x
    x = 107,025,159,609/217,953
  6. Step 6: Final answer
    x = 491,046.97

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Why These Related Problems?

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