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Finding the Third Proportional to 63,517.50 and 137,976.75

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Solution

The third proportional to 63,517.50 and 137,976.75 is: 299,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,517.50 : 137,976.75 = 137,976.75 : x
  2. Step 2: Convert to fraction form
    63,517.50/137,976.75 = 137,976.75/x
  3. Step 3: Cross multiply
    63,517.50x = 137,976.75 × 137,976.75
  4. Step 4: Simplify right side
    63,517.50x = 19,037,583,540.56
  5. Step 5: Solve for x
    x = 19,037,583,540.56/63,517.50
  6. Step 6: Final answer
    x = 299,721.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.