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Finding the Third Proportional to 118 and 168.13

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Solution

The third proportional to 118 and 168.13 is: 239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118 : 168.13 = 168.13 : x
  2. Step 2: Convert to fraction form
    118/168.13 = 168.13/x
  3. Step 3: Cross multiply
    118x = 168.13 × 168.13
  4. Step 4: Simplify right side
    118x = 28,266.02
  5. Step 5: Solve for x
    x = 28,266.02/118
  6. Step 6: Final answer
    x = 239.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.