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Finding the Third Proportional to 81,744 and 178,800

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Solution

The third proportional to 81,744 and 178,800 is: 391,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744 : 178,800 = 178,800 : x
  2. Step 2: Convert to fraction form
    81,744/178,800 = 178,800/x
  3. Step 3: Cross multiply
    81,744x = 178,800 × 178,800
  4. Step 4: Simplify right side
    81,744x = 31,969,440,000
  5. Step 5: Solve for x
    x = 31,969,440,000/81,744
  6. Step 6: Final answer
    x = 391,092.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.