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Finding the Third Proportional to 4,247.44 and 5,503.78

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Solution

The third proportional to 4,247.44 and 5,503.78 is: 7,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.44 : 5,503.78 = 5,503.78 : x
  2. Step 2: Convert to fraction form
    4,247.44/5,503.78 = 5,503.78/x
  3. Step 3: Cross multiply
    4,247.44x = 5,503.78 × 5,503.78
  4. Step 4: Simplify right side
    4,247.44x = 30,291,608.05
  5. Step 5: Solve for x
    x = 30,291,608.05/4,247.44
  6. Step 6: Final answer
    x = 7,131.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.