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Finding the Third Proportional to 33,200.50 and 71,936

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Solution

The third proportional to 33,200.50 and 71,936 is: 155,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.50 : 71,936 = 71,936 : x
  2. Step 2: Convert to fraction form
    33,200.50/71,936 = 71,936/x
  3. Step 3: Cross multiply
    33,200.50x = 71,936 × 71,936
  4. Step 4: Simplify right side
    33,200.50x = 5,174,788,096
  5. Step 5: Solve for x
    x = 5,174,788,096/33,200.50
  6. Step 6: Final answer
    x = 155,864.76

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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.