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Finding the Third Proportional to 135.42 and 148.92

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Solution

The third proportional to 135.42 and 148.92 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 148.92 = 148.92 : x
  2. Step 2: Convert to fraction form
    135.42/148.92 = 148.92/x
  3. Step 3: Cross multiply
    135.42x = 148.92 × 148.92
  4. Step 4: Simplify right side
    135.42x = 22,177.72
  5. Step 5: Solve for x
    x = 22,177.72/135.42
  6. Step 6: Final answer
    x = 163.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.