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Finding the Third Proportional to 124.42 and 132.96

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Solution

The third proportional to 124.42 and 132.96 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.42 : 132.96 = 132.96 : x
  2. Step 2: Convert to fraction form
    124.42/132.96 = 132.96/x
  3. Step 3: Cross multiply
    124.42x = 132.96 × 132.96
  4. Step 4: Simplify right side
    124.42x = 17,678.61
  5. Step 5: Solve for x
    x = 17,678.61/124.42
  6. Step 6: Final answer
    x = 142.09

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.