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Finding the Third Proportional to 3,838 and 4,108

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Solution

The third proportional to 3,838 and 4,108 is: 4,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838 : 4,108 = 4,108 : x
  2. Step 2: Convert to fraction form
    3,838/4,108 = 4,108/x
  3. Step 3: Cross multiply
    3,838x = 4,108 × 4,108
  4. Step 4: Simplify right side
    3,838x = 16,875,664
  5. Step 5: Solve for x
    x = 16,875,664/3,838
  6. Step 6: Final answer
    x = 4,396.99

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.