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Finding the Third Proportional to 71,976 and 168,112

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Solution

The third proportional to 71,976 and 168,112 is: 392,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976 : 168,112 = 168,112 : x
  2. Step 2: Convert to fraction form
    71,976/168,112 = 168,112/x
  3. Step 3: Cross multiply
    71,976x = 168,112 × 168,112
  4. Step 4: Simplify right side
    71,976x = 28,261,644,544
  5. Step 5: Solve for x
    x = 28,261,644,544/71,976
  6. Step 6: Final answer
    x = 392,653.73

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.