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Finding the Third Proportional to 40,193 and 81,481

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Solution

The third proportional to 40,193 and 81,481 is: 165,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193 : 81,481 = 81,481 : x
  2. Step 2: Convert to fraction form
    40,193/81,481 = 81,481/x
  3. Step 3: Cross multiply
    40,193x = 81,481 × 81,481
  4. Step 4: Simplify right side
    40,193x = 6,639,153,361
  5. Step 5: Solve for x
    x = 6,639,153,361/40,193
  6. Step 6: Final answer
    x = 165,181.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.