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Finding the Third Proportional to 133.42 and 179.88

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Solution

The third proportional to 133.42 and 179.88 is: 242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.42 : 179.88 = 179.88 : x
  2. Step 2: Convert to fraction form
    133.42/179.88 = 179.88/x
  3. Step 3: Cross multiply
    133.42x = 179.88 × 179.88
  4. Step 4: Simplify right side
    133.42x = 32,355.72
  5. Step 5: Solve for x
    x = 32,355.72/133.42
  6. Step 6: Final answer
    x = 242.51

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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.