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Finding the Third Proportional to 20,409 and 41,915

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Solution

The third proportional to 20,409 and 41,915 is: 86,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409 : 41,915 = 41,915 : x
  2. Step 2: Convert to fraction form
    20,409/41,915 = 41,915/x
  3. Step 3: Cross multiply
    20,409x = 41,915 × 41,915
  4. Step 4: Simplify right side
    20,409x = 1,756,867,225
  5. Step 5: Solve for x
    x = 1,756,867,225/20,409
  6. Step 6: Final answer
    x = 86,082.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.