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Finding the Third Proportional to 92,099 and 198,367

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Solution

The third proportional to 92,099 and 198,367 is: 427,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,099 : 198,367 = 198,367 : x
  2. Step 2: Convert to fraction form
    92,099/198,367 = 198,367/x
  3. Step 3: Cross multiply
    92,099x = 198,367 × 198,367
  4. Step 4: Simplify right side
    92,099x = 39,349,466,689
  5. Step 5: Solve for x
    x = 39,349,466,689/92,099
  6. Step 6: Final answer
    x = 427,251.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.