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Finding the Third Proportional to 21,214 and 41,893

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Solution

The third proportional to 21,214 and 41,893 is: 82,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 41,893 = 41,893 : x
  2. Step 2: Convert to fraction form
    21,214/41,893 = 41,893/x
  3. Step 3: Cross multiply
    21,214x = 41,893 × 41,893
  4. Step 4: Simplify right side
    21,214x = 1,755,023,449
  5. Step 5: Solve for x
    x = 1,755,023,449/21,214
  6. Step 6: Final answer
    x = 82,729.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.