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Finding the Third Proportional to 33,733 and 74,079

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Solution

The third proportional to 33,733 and 74,079 is: 162,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,733 : 74,079 = 74,079 : x
  2. Step 2: Convert to fraction form
    33,733/74,079 = 74,079/x
  3. Step 3: Cross multiply
    33,733x = 74,079 × 74,079
  4. Step 4: Simplify right side
    33,733x = 5,487,698,241
  5. Step 5: Solve for x
    x = 5,487,698,241/33,733
  6. Step 6: Final answer
    x = 162,680.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.