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Finding the Third Proportional to 81,408 and 177,744

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Solution

The third proportional to 81,408 and 177,744 is: 388,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,408 : 177,744 = 177,744 : x
  2. Step 2: Convert to fraction form
    81,408/177,744 = 177,744/x
  3. Step 3: Cross multiply
    81,408x = 177,744 × 177,744
  4. Step 4: Simplify right side
    81,408x = 31,592,929,536
  5. Step 5: Solve for x
    x = 31,592,929,536/81,408
  6. Step 6: Final answer
    x = 388,081.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.