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Finding the Third Proportional to 85,961 and 131,411

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Solution

The third proportional to 85,961 and 131,411 is: 200,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,961 : 131,411 = 131,411 : x
  2. Step 2: Convert to fraction form
    85,961/131,411 = 131,411/x
  3. Step 3: Cross multiply
    85,961x = 131,411 × 131,411
  4. Step 4: Simplify right side
    85,961x = 17,268,850,921
  5. Step 5: Solve for x
    x = 17,268,850,921/85,961
  6. Step 6: Final answer
    x = 200,891.69

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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.