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Finding the Third Proportional to 20,587 and 41,903

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Solution

The third proportional to 20,587 and 41,903 is: 85,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587 : 41,903 = 41,903 : x
  2. Step 2: Convert to fraction form
    20,587/41,903 = 41,903/x
  3. Step 3: Cross multiply
    20,587x = 41,903 × 41,903
  4. Step 4: Simplify right side
    20,587x = 1,755,861,409
  5. Step 5: Solve for x
    x = 1,755,861,409/20,587
  6. Step 6: Final answer
    x = 85,289.81

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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.