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Finding the Third Proportional to 131,961 and 311,197.50

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Solution

The third proportional to 131,961 and 311,197.50 is: 733,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,961 : 311,197.50 = 311,197.50 : x
  2. Step 2: Convert to fraction form
    131,961/311,197.50 = 311,197.50/x
  3. Step 3: Cross multiply
    131,961x = 311,197.50 × 311,197.50
  4. Step 4: Simplify right side
    131,961x = 96,843,884,006.25
  5. Step 5: Solve for x
    x = 96,843,884,006.25/131,961
  6. Step 6: Final answer
    x = 733,882.62

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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.