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Finding the Third Proportional to 91,750 and 198,940

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Solution

The third proportional to 91,750 and 198,940 is: 431,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,750 : 198,940 = 198,940 : x
  2. Step 2: Convert to fraction form
    91,750/198,940 = 198,940/x
  3. Step 3: Cross multiply
    91,750x = 198,940 × 198,940
  4. Step 4: Simplify right side
    91,750x = 39,577,123,600
  5. Step 5: Solve for x
    x = 39,577,123,600/91,750
  6. Step 6: Final answer
    x = 431,358.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.