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Finding the Third Proportional to 3,838.78 and 8,372.39

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Solution

The third proportional to 3,838.78 and 8,372.39 is: 18,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.78 : 8,372.39 = 8,372.39 : x
  2. Step 2: Convert to fraction form
    3,838.78/8,372.39 = 8,372.39/x
  3. Step 3: Cross multiply
    3,838.78x = 8,372.39 × 8,372.39
  4. Step 4: Simplify right side
    3,838.78x = 70,096,924.78
  5. Step 5: Solve for x
    x = 70,096,924.78/3,838.78
  6. Step 6: Final answer
    x = 18,260.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.