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Finding the Third Proportional to 217,950 and 327,145

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Solution

The third proportional to 217,950 and 327,145 is: 491,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,950 : 327,145 = 327,145 : x
  2. Step 2: Convert to fraction form
    217,950/327,145 = 327,145/x
  3. Step 3: Cross multiply
    217,950x = 327,145 × 327,145
  4. Step 4: Simplify right side
    217,950x = 107,023,851,025
  5. Step 5: Solve for x
    x = 107,023,851,025/217,950
  6. Step 6: Final answer
    x = 491,047.72

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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.