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Finding the Third Proportional to 20,891 and 45,917

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Solution

The third proportional to 20,891 and 45,917 is: 100,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891 : 45,917 = 45,917 : x
  2. Step 2: Convert to fraction form
    20,891/45,917 = 45,917/x
  3. Step 3: Cross multiply
    20,891x = 45,917 × 45,917
  4. Step 4: Simplify right side
    20,891x = 2,108,370,889
  5. Step 5: Solve for x
    x = 2,108,370,889/20,891
  6. Step 6: Final answer
    x = 100,922.45

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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.