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Finding the Third Proportional to 3,734.44 and 5,233.78

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Solution

The third proportional to 3,734.44 and 5,233.78 is: 7,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.44 : 5,233.78 = 5,233.78 : x
  2. Step 2: Convert to fraction form
    3,734.44/5,233.78 = 5,233.78/x
  3. Step 3: Cross multiply
    3,734.44x = 5,233.78 × 5,233.78
  4. Step 4: Simplify right side
    3,734.44x = 27,392,466.17
  5. Step 5: Solve for x
    x = 27,392,466.17/3,734.44
  6. Step 6: Final answer
    x = 7,335.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.