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Finding the Third Proportional to 140,676.75 and 198,105.75

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Solution

The third proportional to 140,676.75 and 198,105.75 is: 278,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676.75 : 198,105.75 = 198,105.75 : x
  2. Step 2: Convert to fraction form
    140,676.75/198,105.75 = 198,105.75/x
  3. Step 3: Cross multiply
    140,676.75x = 198,105.75 × 198,105.75
  4. Step 4: Simplify right side
    140,676.75x = 39,245,888,183.06
  5. Step 5: Solve for x
    x = 39,245,888,183.06/140,676.75
  6. Step 6: Final answer
    x = 278,979.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.