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Finding the Third Proportional to 71.97 and 168.44

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Solution

The third proportional to 71.97 and 168.44 is: 394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.97 : 168.44 = 168.44 : x
  2. Step 2: Convert to fraction form
    71.97/168.44 = 168.44/x
  3. Step 3: Cross multiply
    71.97x = 168.44 × 168.44
  4. Step 4: Simplify right side
    71.97x = 28,371.19
  5. Step 5: Solve for x
    x = 28,371.19/71.97
  6. Step 6: Final answer
    x = 394.22

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Why These Related Problems?

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