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Finding the Third Proportional to 133.75 and 239.13

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Solution

The third proportional to 133.75 and 239.13 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.75 : 239.13 = 239.13 : x
  2. Step 2: Convert to fraction form
    133.75/239.13 = 239.13/x
  3. Step 3: Cross multiply
    133.75x = 239.13 × 239.13
  4. Step 4: Simplify right side
    133.75x = 57,180.77
  5. Step 5: Solve for x
    x = 57,180.77/133.75
  6. Step 6: Final answer
    x = 427.52

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.