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Finding the Third Proportional to 3,997.69 and 5,329.97

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Solution

The third proportional to 3,997.69 and 5,329.97 is: 7,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.69 : 5,329.97 = 5,329.97 : x
  2. Step 2: Convert to fraction form
    3,997.69/5,329.97 = 5,329.97/x
  3. Step 3: Cross multiply
    3,997.69x = 5,329.97 × 5,329.97
  4. Step 4: Simplify right side
    3,997.69x = 28,408,566.88
  5. Step 5: Solve for x
    x = 28,408,566.88/3,997.69
  6. Step 6: Final answer
    x = 7,106.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.