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Finding the Third Proportional to 11,721 and 25,286

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Solution

The third proportional to 11,721 and 25,286 is: 54,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721 : 25,286 = 25,286 : x
  2. Step 2: Convert to fraction form
    11,721/25,286 = 25,286/x
  3. Step 3: Cross multiply
    11,721x = 25,286 × 25,286
  4. Step 4: Simplify right side
    11,721x = 639,381,796
  5. Step 5: Solve for x
    x = 639,381,796/11,721
  6. Step 6: Final answer
    x = 54,550.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.