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Finding the Third Proportional to 1,850.62 and 3,961.80

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Solution

The third proportional to 1,850.62 and 3,961.80 is: 8,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.62 : 3,961.80 = 3,961.80 : x
  2. Step 2: Convert to fraction form
    1,850.62/3,961.80 = 3,961.80/x
  3. Step 3: Cross multiply
    1,850.62x = 3,961.80 × 3,961.80
  4. Step 4: Simplify right side
    1,850.62x = 15,695,873.17
  5. Step 5: Solve for x
    x = 15,695,873.17/1,850.62
  6. Step 6: Final answer
    x = 8,481.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.