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Finding the Third Proportional to 1,993.69 and 4,086.94

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Solution

The third proportional to 1,993.69 and 4,086.94 is: 8,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.69 : 4,086.94 = 4,086.94 : x
  2. Step 2: Convert to fraction form
    1,993.69/4,086.94 = 4,086.94/x
  3. Step 3: Cross multiply
    1,993.69x = 4,086.94 × 4,086.94
  4. Step 4: Simplify right side
    1,993.69x = 16,703,058.13
  5. Step 5: Solve for x
    x = 16,703,058.13/1,993.69
  6. Step 6: Final answer
    x = 8,377.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.