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Finding the Third Proportional to 3,839.06 and 5,431.22

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Solution

The third proportional to 3,839.06 and 5,431.22 is: 7,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.06 : 5,431.22 = 5,431.22 : x
  2. Step 2: Convert to fraction form
    3,839.06/5,431.22 = 5,431.22/x
  3. Step 3: Cross multiply
    3,839.06x = 5,431.22 × 5,431.22
  4. Step 4: Simplify right side
    3,839.06x = 29,498,137.11
  5. Step 5: Solve for x
    x = 29,498,137.11/3,839.06
  6. Step 6: Final answer
    x = 7,683.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.