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Finding the Third Proportional to 85,839 and 131,311

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Solution

The third proportional to 85,839 and 131,311 is: 200,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,839 : 131,311 = 131,311 : x
  2. Step 2: Convert to fraction form
    85,839/131,311 = 131,311/x
  3. Step 3: Cross multiply
    85,839x = 131,311 × 131,311
  4. Step 4: Simplify right side
    85,839x = 17,242,578,721
  5. Step 5: Solve for x
    x = 17,242,578,721/85,839
  6. Step 6: Final answer
    x = 200,871.15

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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.