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Finding the Third Proportional to 20,777 and 31,189

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Solution

The third proportional to 20,777 and 31,189 is: 46,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777 : 31,189 = 31,189 : x
  2. Step 2: Convert to fraction form
    20,777/31,189 = 31,189/x
  3. Step 3: Cross multiply
    20,777x = 31,189 × 31,189
  4. Step 4: Simplify right side
    20,777x = 972,753,721
  5. Step 5: Solve for x
    x = 972,753,721/20,777
  6. Step 6: Final answer
    x = 46,818.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.