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Finding the Third Proportional to 20,456 and 27,625

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Solution

The third proportional to 20,456 and 27,625 is: 37,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456 : 27,625 = 27,625 : x
  2. Step 2: Convert to fraction form
    20,456/27,625 = 27,625/x
  3. Step 3: Cross multiply
    20,456x = 27,625 × 27,625
  4. Step 4: Simplify right side
    20,456x = 763,140,625
  5. Step 5: Solve for x
    x = 763,140,625/20,456
  6. Step 6: Final answer
    x = 37,306.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.