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Finding the Third Proportional to 217,948 and 327,142

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Solution

The third proportional to 217,948 and 327,142 is: 491,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,948 : 327,142 = 327,142 : x
  2. Step 2: Convert to fraction form
    217,948/327,142 = 327,142/x
  3. Step 3: Cross multiply
    217,948x = 327,142 × 327,142
  4. Step 4: Simplify right side
    217,948x = 107,021,888,164
  5. Step 5: Solve for x
    x = 107,021,888,164/217,948
  6. Step 6: Final answer
    x = 491,043.22

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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.