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Finding the Third Proportional to 92,068 and 198,626

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Solution

The third proportional to 92,068 and 198,626 is: 428,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,068 : 198,626 = 198,626 : x
  2. Step 2: Convert to fraction form
    92,068/198,626 = 198,626/x
  3. Step 3: Cross multiply
    92,068x = 198,626 × 198,626
  4. Step 4: Simplify right side
    92,068x = 39,452,287,876
  5. Step 5: Solve for x
    x = 39,452,287,876/92,068
  6. Step 6: Final answer
    x = 428,512.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.