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Finding the Third Proportional to 21,800 and 33,749

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Solution

The third proportional to 21,800 and 33,749 is: 52,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 33,749 = 33,749 : x
  2. Step 2: Convert to fraction form
    21,800/33,749 = 33,749/x
  3. Step 3: Cross multiply
    21,800x = 33,749 × 33,749
  4. Step 4: Simplify right side
    21,800x = 1,138,995,001
  5. Step 5: Solve for x
    x = 1,138,995,001/21,800
  6. Step 6: Final answer
    x = 52,247.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.