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Finding the Third Proportional to 132,169.50 and 198,294

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Solution

The third proportional to 132,169.50 and 198,294 is: 297,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,169.50 : 198,294 = 198,294 : x
  2. Step 2: Convert to fraction form
    132,169.50/198,294 = 198,294/x
  3. Step 3: Cross multiply
    132,169.50x = 198,294 × 198,294
  4. Step 4: Simplify right side
    132,169.50x = 39,320,510,436
  5. Step 5: Solve for x
    x = 39,320,510,436/132,169.50
  6. Step 6: Final answer
    x = 297,500.64

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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.