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Finding the Third Proportional to 3,838 and 4,270

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Solution

The third proportional to 3,838 and 4,270 is: 4,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838 : 4,270 = 4,270 : x
  2. Step 2: Convert to fraction form
    3,838/4,270 = 4,270/x
  3. Step 3: Cross multiply
    3,838x = 4,270 × 4,270
  4. Step 4: Simplify right side
    3,838x = 18,232,900
  5. Step 5: Solve for x
    x = 18,232,900/3,838
  6. Step 6: Final answer
    x = 4,750.63

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.