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Finding the Third Proportional to 85,867 and 131,349

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Solution

The third proportional to 85,867 and 131,349 is: 200,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,867 : 131,349 = 131,349 : x
  2. Step 2: Convert to fraction form
    85,867/131,349 = 131,349/x
  3. Step 3: Cross multiply
    85,867x = 131,349 × 131,349
  4. Step 4: Simplify right side
    85,867x = 17,252,559,801
  5. Step 5: Solve for x
    x = 17,252,559,801/85,867
  6. Step 6: Final answer
    x = 200,921.89

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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.