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Finding the Third Proportional to 3,078.75 and 8,226.38

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Solution

The third proportional to 3,078.75 and 8,226.38 is: 21,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.75 : 8,226.38 = 8,226.38 : x
  2. Step 2: Convert to fraction form
    3,078.75/8,226.38 = 8,226.38/x
  3. Step 3: Cross multiply
    3,078.75x = 8,226.38 × 8,226.38
  4. Step 4: Simplify right side
    3,078.75x = 67,673,245.64
  5. Step 5: Solve for x
    x = 67,673,245.64/3,078.75
  6. Step 6: Final answer
    x = 21,980.75

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Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.