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Finding the Third Proportional to 63.18 and 137.85

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Solution

The third proportional to 63.18 and 137.85 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.18 : 137.85 = 137.85 : x
  2. Step 2: Convert to fraction form
    63.18/137.85 = 137.85/x
  3. Step 3: Cross multiply
    63.18x = 137.85 × 137.85
  4. Step 4: Simplify right side
    63.18x = 19,001.98
  5. Step 5: Solve for x
    x = 19,001.98/63.18
  6. Step 6: Final answer
    x = 300.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.