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Finding the Third Proportional to 240.05 and 339.96

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Solution

The third proportional to 240.05 and 339.96 is: 481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.05 : 339.96 = 339.96 : x
  2. Step 2: Convert to fraction form
    240.05/339.96 = 339.96/x
  3. Step 3: Cross multiply
    240.05x = 339.96 × 339.96
  4. Step 4: Simplify right side
    240.05x = 115,573.44
  5. Step 5: Solve for x
    x = 115,573.44/240.05
  6. Step 6: Final answer
    x = 481.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.