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Finding the Third Proportional to 90,190 and 140,198

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Solution

The third proportional to 90,190 and 140,198 is: 217,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,190 : 140,198 = 140,198 : x
  2. Step 2: Convert to fraction form
    90,190/140,198 = 140,198/x
  3. Step 3: Cross multiply
    90,190x = 140,198 × 140,198
  4. Step 4: Simplify right side
    90,190x = 19,655,479,204
  5. Step 5: Solve for x
    x = 19,655,479,204/90,190
  6. Step 6: Final answer
    x = 217,934.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.