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Finding the Third Proportional to 20,826 and 27,027

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Solution

The third proportional to 20,826 and 27,027 is: 35,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 27,027 = 27,027 : x
  2. Step 2: Convert to fraction form
    20,826/27,027 = 27,027/x
  3. Step 3: Cross multiply
    20,826x = 27,027 × 27,027
  4. Step 4: Simplify right side
    20,826x = 730,458,729
  5. Step 5: Solve for x
    x = 730,458,729/20,826
  6. Step 6: Final answer
    x = 35,074.37

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.