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Finding the Third Proportional to 81,805.50 and 110,493

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Solution

The third proportional to 81,805.50 and 110,493 is: 149,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.50 : 110,493 = 110,493 : x
  2. Step 2: Convert to fraction form
    81,805.50/110,493 = 110,493/x
  3. Step 3: Cross multiply
    81,805.50x = 110,493 × 110,493
  4. Step 4: Simplify right side
    81,805.50x = 12,208,703,049
  5. Step 5: Solve for x
    x = 12,208,703,049/81,805.50
  6. Step 6: Final answer
    x = 149,240.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.