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Finding the Third Proportional to 131,954 and 311,177

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Solution

The third proportional to 131,954 and 311,177 is: 733,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,954 : 311,177 = 311,177 : x
  2. Step 2: Convert to fraction form
    131,954/311,177 = 311,177/x
  3. Step 3: Cross multiply
    131,954x = 311,177 × 311,177
  4. Step 4: Simplify right side
    131,954x = 96,831,125,329
  5. Step 5: Solve for x
    x = 96,831,125,329/131,954
  6. Step 6: Final answer
    x = 733,824.86

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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.