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Finding the Third Proportional to 90,836 and 198,019

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Solution

The third proportional to 90,836 and 198,019 is: 431,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,836 : 198,019 = 198,019 : x
  2. Step 2: Convert to fraction form
    90,836/198,019 = 198,019/x
  3. Step 3: Cross multiply
    90,836x = 198,019 × 198,019
  4. Step 4: Simplify right side
    90,836x = 39,211,524,361
  5. Step 5: Solve for x
    x = 39,211,524,361/90,836
  6. Step 6: Final answer
    x = 431,673.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.