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Finding the Third Proportional to 22,289 and 33,325

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Solution

The third proportional to 22,289 and 33,325 is: 49,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289 : 33,325 = 33,325 : x
  2. Step 2: Convert to fraction form
    22,289/33,325 = 33,325/x
  3. Step 3: Cross multiply
    22,289x = 33,325 × 33,325
  4. Step 4: Simplify right side
    22,289x = 1,110,555,625
  5. Step 5: Solve for x
    x = 1,110,555,625/22,289
  6. Step 6: Final answer
    x = 49,825.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.