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Finding the Third Proportional to 3,800 and 9,050

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Solution

The third proportional to 3,800 and 9,050 is: 21,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 9,050 = 9,050 : x
  2. Step 2: Convert to fraction form
    3,800/9,050 = 9,050/x
  3. Step 3: Cross multiply
    3,800x = 9,050 × 9,050
  4. Step 4: Simplify right side
    3,800x = 81,902,500
  5. Step 5: Solve for x
    x = 81,902,500/3,800
  6. Step 6: Final answer
    x = 21,553.29

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.