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Finding the Third Proportional to 3,800 and 5,072

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Solution

The third proportional to 3,800 and 5,072 is: 6,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 5,072 = 5,072 : x
  2. Step 2: Convert to fraction form
    3,800/5,072 = 5,072/x
  3. Step 3: Cross multiply
    3,800x = 5,072 × 5,072
  4. Step 4: Simplify right side
    3,800x = 25,725,184
  5. Step 5: Solve for x
    x = 25,725,184/3,800
  6. Step 6: Final answer
    x = 6,769.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.