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Finding the Third Proportional to 22,478 and 33,693

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Solution

The third proportional to 22,478 and 33,693 is: 50,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478 : 33,693 = 33,693 : x
  2. Step 2: Convert to fraction form
    22,478/33,693 = 33,693/x
  3. Step 3: Cross multiply
    22,478x = 33,693 × 33,693
  4. Step 4: Simplify right side
    22,478x = 1,135,218,249
  5. Step 5: Solve for x
    x = 1,135,218,249/22,478
  6. Step 6: Final answer
    x = 50,503.53

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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.