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Finding the Third Proportional to 33,709.50 and 73,302

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Solution

The third proportional to 33,709.50 and 73,302 is: 159,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.50 : 73,302 = 73,302 : x
  2. Step 2: Convert to fraction form
    33,709.50/73,302 = 73,302/x
  3. Step 3: Cross multiply
    33,709.50x = 73,302 × 73,302
  4. Step 4: Simplify right side
    33,709.50x = 5,373,183,204
  5. Step 5: Solve for x
    x = 5,373,183,204/33,709.50
  6. Step 6: Final answer
    x = 159,396.70

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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.