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Finding the Third Proportional to 3,936.09 and 8,205.47

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Solution

The third proportional to 3,936.09 and 8,205.47 is: 17,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.09 : 8,205.47 = 8,205.47 : x
  2. Step 2: Convert to fraction form
    3,936.09/8,205.47 = 8,205.47/x
  3. Step 3: Cross multiply
    3,936.09x = 8,205.47 × 8,205.47
  4. Step 4: Simplify right side
    3,936.09x = 67,329,717.41
  5. Step 5: Solve for x
    x = 67,329,717.41/3,936.09
  6. Step 6: Final answer
    x = 17,105.72

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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.