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Finding the Third Proportional to 91,543 and 198,311

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Solution

The third proportional to 91,543 and 198,311 is: 429,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,543 : 198,311 = 198,311 : x
  2. Step 2: Convert to fraction form
    91,543/198,311 = 198,311/x
  3. Step 3: Cross multiply
    91,543x = 198,311 × 198,311
  4. Step 4: Simplify right side
    91,543x = 39,327,252,721
  5. Step 5: Solve for x
    x = 39,327,252,721/91,543
  6. Step 6: Final answer
    x = 429,604.15

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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.