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Finding the Third Proportional to 33,960 and 80,288

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Solution

The third proportional to 33,960 and 80,288 is: 189,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960 : 80,288 = 80,288 : x
  2. Step 2: Convert to fraction form
    33,960/80,288 = 80,288/x
  3. Step 3: Cross multiply
    33,960x = 80,288 × 80,288
  4. Step 4: Simplify right side
    33,960x = 6,446,162,944
  5. Step 5: Solve for x
    x = 6,446,162,944/33,960
  6. Step 6: Final answer
    x = 189,816.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.