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Finding the Third Proportional to 3,181.78 and 5,278.92

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Solution

The third proportional to 3,181.78 and 5,278.92 is: 8,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.78 : 5,278.92 = 5,278.92 : x
  2. Step 2: Convert to fraction form
    3,181.78/5,278.92 = 5,278.92/x
  3. Step 3: Cross multiply
    3,181.78x = 5,278.92 × 5,278.92
  4. Step 4: Simplify right side
    3,181.78x = 27,867,016.16
  5. Step 5: Solve for x
    x = 27,867,016.16/3,181.78
  6. Step 6: Final answer
    x = 8,758.31

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.