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Finding the Third Proportional to 54,381 and 76,581

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Solution

The third proportional to 54,381 and 76,581 is: 107,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,381 : 76,581 = 76,581 : x
  2. Step 2: Convert to fraction form
    54,381/76,581 = 76,581/x
  3. Step 3: Cross multiply
    54,381x = 76,581 × 76,581
  4. Step 4: Simplify right side
    54,381x = 5,864,649,561
  5. Step 5: Solve for x
    x = 5,864,649,561/54,381
  6. Step 6: Final answer
    x = 107,843.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.