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Finding the Third Proportional to 3,800 and 4,196

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Solution

The third proportional to 3,800 and 4,196 is: 4,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 4,196 = 4,196 : x
  2. Step 2: Convert to fraction form
    3,800/4,196 = 4,196/x
  3. Step 3: Cross multiply
    3,800x = 4,196 × 4,196
  4. Step 4: Simplify right side
    3,800x = 17,606,416
  5. Step 5: Solve for x
    x = 17,606,416/3,800
  6. Step 6: Final answer
    x = 4,633.27

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.