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Finding the Third Proportional to 132,204.50 and 198,600

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Solution

The third proportional to 132,204.50 and 198,600 is: 298,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,204.50 : 198,600 = 198,600 : x
  2. Step 2: Convert to fraction form
    132,204.50/198,600 = 198,600/x
  3. Step 3: Cross multiply
    132,204.50x = 198,600 × 198,600
  4. Step 4: Simplify right side
    132,204.50x = 39,441,960,000
  5. Step 5: Solve for x
    x = 39,441,960,000/132,204.50
  6. Step 6: Final answer
    x = 298,340.53

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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.