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Finding the Third Proportional to 67,861.13 and 137,568.38

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Solution

The third proportional to 67,861.13 and 137,568.38 is: 278,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,861.13 : 137,568.38 = 137,568.38 : x
  2. Step 2: Convert to fraction form
    67,861.13/137,568.38 = 137,568.38/x
  3. Step 3: Cross multiply
    67,861.13x = 137,568.38 × 137,568.38
  4. Step 4: Simplify right side
    67,861.13x = 18,925,057,800.14
  5. Step 5: Solve for x
    x = 18,925,057,800.14/67,861.13
  6. Step 6: Final answer
    x = 278,879.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.