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Finding the Third Proportional to 80.42 and 124.92

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Solution

The third proportional to 80.42 and 124.92 is: 194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.42 : 124.92 = 124.92 : x
  2. Step 2: Convert to fraction form
    80.42/124.92 = 124.92/x
  3. Step 3: Cross multiply
    80.42x = 124.92 × 124.92
  4. Step 4: Simplify right side
    80.42x = 15,605.47
  5. Step 5: Solve for x
    x = 15,605.47/80.42
  6. Step 6: Final answer
    x = 194.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.