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Finding the Third Proportional to 22,274 and 33,625

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Solution

The third proportional to 22,274 and 33,625 is: 50,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274 : 33,625 = 33,625 : x
  2. Step 2: Convert to fraction form
    22,274/33,625 = 33,625/x
  3. Step 3: Cross multiply
    22,274x = 33,625 × 33,625
  4. Step 4: Simplify right side
    22,274x = 1,130,640,625
  5. Step 5: Solve for x
    x = 1,130,640,625/22,274
  6. Step 6: Final answer
    x = 50,760.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.