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Finding the Third Proportional to 20,009 and 27,725

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Solution

The third proportional to 20,009 and 27,725 is: 38,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 27,725 = 27,725 : x
  2. Step 2: Convert to fraction form
    20,009/27,725 = 27,725/x
  3. Step 3: Cross multiply
    20,009x = 27,725 × 27,725
  4. Step 4: Simplify right side
    20,009x = 768,675,625
  5. Step 5: Solve for x
    x = 768,675,625/20,009
  6. Step 6: Final answer
    x = 38,416.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.