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Finding the Third Proportional to 20,189 and 41,197

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Solution

The third proportional to 20,189 and 41,197 is: 84,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189 : 41,197 = 41,197 : x
  2. Step 2: Convert to fraction form
    20,189/41,197 = 41,197/x
  3. Step 3: Cross multiply
    20,189x = 41,197 × 41,197
  4. Step 4: Simplify right side
    20,189x = 1,697,192,809
  5. Step 5: Solve for x
    x = 1,697,192,809/20,189
  6. Step 6: Final answer
    x = 84,065.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.