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Finding the Third Proportional to 63.05 and 140.86

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Solution

The third proportional to 63.05 and 140.86 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.05 : 140.86 = 140.86 : x
  2. Step 2: Convert to fraction form
    63.05/140.86 = 140.86/x
  3. Step 3: Cross multiply
    63.05x = 140.86 × 140.86
  4. Step 4: Simplify right side
    63.05x = 19,841.36
  5. Step 5: Solve for x
    x = 19,841.36/63.05
  6. Step 6: Final answer
    x = 314.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.