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Finding the Third Proportional to 33,043 and 68,821

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Solution

The third proportional to 33,043 and 68,821 is: 143,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,043 : 68,821 = 68,821 : x
  2. Step 2: Convert to fraction form
    33,043/68,821 = 68,821/x
  3. Step 3: Cross multiply
    33,043x = 68,821 × 68,821
  4. Step 4: Simplify right side
    33,043x = 4,736,330,041
  5. Step 5: Solve for x
    x = 4,736,330,041/33,043
  6. Step 6: Final answer
    x = 143,338.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.