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Finding the Third Proportional to 23,263 and 33,227

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Solution

The third proportional to 23,263 and 33,227 is: 47,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263 : 33,227 = 33,227 : x
  2. Step 2: Convert to fraction form
    23,263/33,227 = 33,227/x
  3. Step 3: Cross multiply
    23,263x = 33,227 × 33,227
  4. Step 4: Simplify right side
    23,263x = 1,104,033,529
  5. Step 5: Solve for x
    x = 1,104,033,529/23,263
  6. Step 6: Final answer
    x = 47,458.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.