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Finding the Third Proportional to 20,917 and 45,981

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Solution

The third proportional to 20,917 and 45,981 is: 101,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917 : 45,981 = 45,981 : x
  2. Step 2: Convert to fraction form
    20,917/45,981 = 45,981/x
  3. Step 3: Cross multiply
    20,917x = 45,981 × 45,981
  4. Step 4: Simplify right side
    20,917x = 2,114,252,361
  5. Step 5: Solve for x
    x = 2,114,252,361/20,917
  6. Step 6: Final answer
    x = 101,078.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.