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Finding the Third Proportional to 20,112 and 28,743

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Solution

The third proportional to 20,112 and 28,743 is: 41,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 28,743 = 28,743 : x
  2. Step 2: Convert to fraction form
    20,112/28,743 = 28,743/x
  3. Step 3: Cross multiply
    20,112x = 28,743 × 28,743
  4. Step 4: Simplify right side
    20,112x = 826,160,049
  5. Step 5: Solve for x
    x = 826,160,049/20,112
  6. Step 6: Final answer
    x = 41,077.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.