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Finding the Third Proportional to 85,917 and 131,427

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Solution

The third proportional to 85,917 and 131,427 is: 201,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,917 : 131,427 = 131,427 : x
  2. Step 2: Convert to fraction form
    85,917/131,427 = 131,427/x
  3. Step 3: Cross multiply
    85,917x = 131,427 × 131,427
  4. Step 4: Simplify right side
    85,917x = 17,273,056,329
  5. Step 5: Solve for x
    x = 17,273,056,329/85,917
  6. Step 6: Final answer
    x = 201,043.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.