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Finding the Third Proportional to 2,938.78 and 4,408.17

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Solution

The third proportional to 2,938.78 and 4,408.17 is: 6,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.78 : 4,408.17 = 4,408.17 : x
  2. Step 2: Convert to fraction form
    2,938.78/4,408.17 = 4,408.17/x
  3. Step 3: Cross multiply
    2,938.78x = 4,408.17 × 4,408.17
  4. Step 4: Simplify right side
    2,938.78x = 19,431,979.28
  5. Step 5: Solve for x
    x = 19,431,979.28/2,938.78
  6. Step 6: Final answer
    x = 6,612.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.