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Finding the Third Proportional to 135.56 and 239.44

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Solution

The third proportional to 135.56 and 239.44 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 239.44 = 239.44 : x
  2. Step 2: Convert to fraction form
    135.56/239.44 = 239.44/x
  3. Step 3: Cross multiply
    135.56x = 239.44 × 239.44
  4. Step 4: Simplify right side
    135.56x = 57,330.32
  5. Step 5: Solve for x
    x = 57,330.32/135.56
  6. Step 6: Final answer
    x = 422.91

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.