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Finding the Third Proportional to 124.78 and 168.19

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Solution

The third proportional to 124.78 and 168.19 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 168.19 = 168.19 : x
  2. Step 2: Convert to fraction form
    124.78/168.19 = 168.19/x
  3. Step 3: Cross multiply
    124.78x = 168.19 × 168.19
  4. Step 4: Simplify right side
    124.78x = 28,287.04
  5. Step 5: Solve for x
    x = 28,287.04/124.78
  6. Step 6: Final answer
    x = 226.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.