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Finding the Third Proportional to 216,098 and 327,131

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Solution

The third proportional to 216,098 and 327,131 is: 495,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,098 : 327,131 = 327,131 : x
  2. Step 2: Convert to fraction form
    216,098/327,131 = 327,131/x
  3. Step 3: Cross multiply
    216,098x = 327,131 × 327,131
  4. Step 4: Simplify right side
    216,098x = 107,014,691,161
  5. Step 5: Solve for x
    x = 107,014,691,161/216,098
  6. Step 6: Final answer
    x = 495,213.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.