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Finding the Third Proportional to 5,199.19 and 11,441.25

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Solution

The third proportional to 5,199.19 and 11,441.25 is: 25,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.19 : 11,441.25 = 11,441.25 : x
  2. Step 2: Convert to fraction form
    5,199.19/11,441.25 = 11,441.25/x
  3. Step 3: Cross multiply
    5,199.19x = 11,441.25 × 11,441.25
  4. Step 4: Simplify right side
    5,199.19x = 130,902,201.56
  5. Step 5: Solve for x
    x = 130,902,201.56/5,199.19
  6. Step 6: Final answer
    x = 25,177.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.