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Finding the Third Proportional to 86,449 and 131,451

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Solution

The third proportional to 86,449 and 131,451 is: 199,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,449 : 131,451 = 131,451 : x
  2. Step 2: Convert to fraction form
    86,449/131,451 = 131,451/x
  3. Step 3: Cross multiply
    86,449x = 131,451 × 131,451
  4. Step 4: Simplify right side
    86,449x = 17,279,365,401
  5. Step 5: Solve for x
    x = 17,279,365,401/86,449
  6. Step 6: Final answer
    x = 199,879.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.