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Finding the Third Proportional to 3,878.44 and 8,371.83

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Solution

The third proportional to 3,878.44 and 8,371.83 is: 18,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.44 : 8,371.83 = 8,371.83 : x
  2. Step 2: Convert to fraction form
    3,878.44/8,371.83 = 8,371.83/x
  3. Step 3: Cross multiply
    3,878.44x = 8,371.83 × 8,371.83
  4. Step 4: Simplify right side
    3,878.44x = 70,087,506.15
  5. Step 5: Solve for x
    x = 70,087,506.15/3,878.44
  6. Step 6: Final answer
    x = 18,071.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.