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Finding the Third Proportional to 133.38 and 155.13

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Solution

The third proportional to 133.38 and 155.13 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.38 : 155.13 = 155.13 : x
  2. Step 2: Convert to fraction form
    133.38/155.13 = 155.13/x
  3. Step 3: Cross multiply
    133.38x = 155.13 × 155.13
  4. Step 4: Simplify right side
    133.38x = 24,063.77
  5. Step 5: Solve for x
    x = 24,063.77/133.38
  6. Step 6: Final answer
    x = 180.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.