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Finding the Third Proportional to 20,854 and 43,868

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Solution

The third proportional to 20,854 and 43,868 is: 92,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854 : 43,868 = 43,868 : x
  2. Step 2: Convert to fraction form
    20,854/43,868 = 43,868/x
  3. Step 3: Cross multiply
    20,854x = 43,868 × 43,868
  4. Step 4: Simplify right side
    20,854x = 1,924,401,424
  5. Step 5: Solve for x
    x = 1,924,401,424/20,854
  6. Step 6: Final answer
    x = 92,279.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.