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Finding the Third Proportional to 3,840.75 and 8,419.78

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Solution

The third proportional to 3,840.75 and 8,419.78 is: 18,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 8,419.78 = 8,419.78 : x
  2. Step 2: Convert to fraction form
    3,840.75/8,419.78 = 8,419.78/x
  3. Step 3: Cross multiply
    3,840.75x = 8,419.78 × 8,419.78
  4. Step 4: Simplify right side
    3,840.75x = 70,892,716.30
  5. Step 5: Solve for x
    x = 70,892,716.30/3,840.75
  6. Step 6: Final answer
    x = 18,458.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.