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Finding the Third Proportional to 128,759 and 198,975

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Solution

The third proportional to 128,759 and 198,975 is: 307,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,759 : 198,975 = 198,975 : x
  2. Step 2: Convert to fraction form
    128,759/198,975 = 198,975/x
  3. Step 3: Cross multiply
    128,759x = 198,975 × 198,975
  4. Step 4: Simplify right side
    128,759x = 39,591,050,625
  5. Step 5: Solve for x
    x = 39,591,050,625/128,759
  6. Step 6: Final answer
    x = 307,481.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.