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Finding the Third Proportional to 131,902 and 311,059

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Solution

The third proportional to 131,902 and 311,059 is: 733,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,902 : 311,059 = 311,059 : x
  2. Step 2: Convert to fraction form
    131,902/311,059 = 311,059/x
  3. Step 3: Cross multiply
    131,902x = 311,059 × 311,059
  4. Step 4: Simplify right side
    131,902x = 96,757,701,481
  5. Step 5: Solve for x
    x = 96,757,701,481/131,902
  6. Step 6: Final answer
    x = 733,557.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.