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Finding the Third Proportional to 1,831 and 3,845

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Solution

The third proportional to 1,831 and 3,845 is: 8,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831 : 3,845 = 3,845 : x
  2. Step 2: Convert to fraction form
    1,831/3,845 = 3,845/x
  3. Step 3: Cross multiply
    1,831x = 3,845 × 3,845
  4. Step 4: Simplify right side
    1,831x = 14,784,025
  5. Step 5: Solve for x
    x = 14,784,025/1,831
  6. Step 6: Final answer
    x = 8,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.