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Finding the Third Proportional to 3,784.54 and 5,211.21

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Solution

The third proportional to 3,784.54 and 5,211.21 is: 7,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.54 : 5,211.21 = 5,211.21 : x
  2. Step 2: Convert to fraction form
    3,784.54/5,211.21 = 5,211.21/x
  3. Step 3: Cross multiply
    3,784.54x = 5,211.21 × 5,211.21
  4. Step 4: Simplify right side
    3,784.54x = 27,156,719.44
  5. Step 5: Solve for x
    x = 27,156,719.44/3,784.54
  6. Step 6: Final answer
    x = 7,175.71

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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.