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Finding the Third Proportional to 131,996 and 311,267

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Solution

The third proportional to 131,996 and 311,267 is: 734,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,996 : 311,267 = 311,267 : x
  2. Step 2: Convert to fraction form
    131,996/311,267 = 311,267/x
  3. Step 3: Cross multiply
    131,996x = 311,267 × 311,267
  4. Step 4: Simplify right side
    131,996x = 96,887,145,289
  5. Step 5: Solve for x
    x = 96,887,145,289/131,996
  6. Step 6: Final answer
    x = 734,015.77

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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.