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Finding the Third Proportional to 132,455 and 198,975

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Solution

The third proportional to 132,455 and 198,975 is: 298,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,455 : 198,975 = 198,975 : x
  2. Step 2: Convert to fraction form
    132,455/198,975 = 198,975/x
  3. Step 3: Cross multiply
    132,455x = 198,975 × 198,975
  4. Step 4: Simplify right side
    132,455x = 39,591,050,625
  5. Step 5: Solve for x
    x = 39,591,050,625/132,455
  6. Step 6: Final answer
    x = 298,901.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.