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Finding the Third Proportional to 217,959 and 327,156

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Solution

The third proportional to 217,959 and 327,156 is: 491,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,959 : 327,156 = 327,156 : x
  2. Step 2: Convert to fraction form
    217,959/327,156 = 327,156/x
  3. Step 3: Cross multiply
    217,959x = 327,156 × 327,156
  4. Step 4: Simplify right side
    217,959x = 107,031,048,336
  5. Step 5: Solve for x
    x = 107,031,048,336/217,959
  6. Step 6: Final answer
    x = 491,060.47

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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.