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Finding the Third Proportional to 2,838.40 and 3,908.41

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Solution

The third proportional to 2,838.40 and 3,908.41 is: 5,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.40 : 3,908.41 = 3,908.41 : x
  2. Step 2: Convert to fraction form
    2,838.40/3,908.41 = 3,908.41/x
  3. Step 3: Cross multiply
    2,838.40x = 3,908.41 × 3,908.41
  4. Step 4: Simplify right side
    2,838.40x = 15,275,654.68
  5. Step 5: Solve for x
    x = 15,275,654.68/2,838.40
  6. Step 6: Final answer
    x = 5,381.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.