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Finding the Third Proportional to 67,286.25 and 141,540.75

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Solution

The third proportional to 67,286.25 and 141,540.75 is: 297,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,286.25 : 141,540.75 = 141,540.75 : x
  2. Step 2: Convert to fraction form
    67,286.25/141,540.75 = 141,540.75/x
  3. Step 3: Cross multiply
    67,286.25x = 141,540.75 × 141,540.75
  4. Step 4: Simplify right side
    67,286.25x = 20,033,783,910.56
  5. Step 5: Solve for x
    x = 20,033,783,910.56/67,286.25
  6. Step 6: Final answer
    x = 297,739.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.