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Finding the Third Proportional to 33,433 and 72,626

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Solution

The third proportional to 33,433 and 72,626 is: 157,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,433 : 72,626 = 72,626 : x
  2. Step 2: Convert to fraction form
    33,433/72,626 = 72,626/x
  3. Step 3: Cross multiply
    33,433x = 72,626 × 72,626
  4. Step 4: Simplify right side
    33,433x = 5,274,535,876
  5. Step 5: Solve for x
    x = 5,274,535,876/33,433
  6. Step 6: Final answer
    x = 157,764.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.