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Finding the Third Proportional to 20,021 and 41,990

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Solution

The third proportional to 20,021 and 41,990 is: 88,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 41,990 = 41,990 : x
  2. Step 2: Convert to fraction form
    20,021/41,990 = 41,990/x
  3. Step 3: Cross multiply
    20,021x = 41,990 × 41,990
  4. Step 4: Simplify right side
    20,021x = 1,763,160,100
  5. Step 5: Solve for x
    x = 1,763,160,100/20,021
  6. Step 6: Final answer
    x = 88,065.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.