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Finding the Third Proportional to 20,147 and 28,741

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Solution

The third proportional to 20,147 and 28,741 is: 41,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 28,741 = 28,741 : x
  2. Step 2: Convert to fraction form
    20,147/28,741 = 28,741/x
  3. Step 3: Cross multiply
    20,147x = 28,741 × 28,741
  4. Step 4: Simplify right side
    20,147x = 826,045,081
  5. Step 5: Solve for x
    x = 826,045,081/20,147
  6. Step 6: Final answer
    x = 41,000.90

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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.