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Finding the Third Proportional to 54,449 and 81,674

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Solution

The third proportional to 54,449 and 81,674 is: 122,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,449 : 81,674 = 81,674 : x
  2. Step 2: Convert to fraction form
    54,449/81,674 = 81,674/x
  3. Step 3: Cross multiply
    54,449x = 81,674 × 81,674
  4. Step 4: Simplify right side
    54,449x = 6,670,642,276
  5. Step 5: Solve for x
    x = 6,670,642,276/54,449
  6. Step 6: Final answer
    x = 122,511.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.