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Finding the Third Proportional to 231,002 and 311,439

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Solution

The third proportional to 231,002 and 311,439 is: 419,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,002 : 311,439 = 311,439 : x
  2. Step 2: Convert to fraction form
    231,002/311,439 = 311,439/x
  3. Step 3: Cross multiply
    231,002x = 311,439 × 311,439
  4. Step 4: Simplify right side
    231,002x = 96,994,250,721
  5. Step 5: Solve for x
    x = 96,994,250,721/231,002
  6. Step 6: Final answer
    x = 419,884.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.