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Finding the Third Proportional to 5,520.38 and 11,921.63

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Solution

The third proportional to 5,520.38 and 11,921.63 is: 25,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.38 : 11,921.63 = 11,921.63 : x
  2. Step 2: Convert to fraction form
    5,520.38/11,921.63 = 11,921.63/x
  3. Step 3: Cross multiply
    5,520.38x = 11,921.63 × 11,921.63
  4. Step 4: Simplify right side
    5,520.38x = 142,125,142.64
  5. Step 5: Solve for x
    x = 142,125,142.64/5,520.38
  6. Step 6: Final answer
    x = 25,745.56

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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.