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Finding the Third Proportional to 3,896.44 and 7,129.69

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Solution

The third proportional to 3,896.44 and 7,129.69 is: 13,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.44 : 7,129.69 = 7,129.69 : x
  2. Step 2: Convert to fraction form
    3,896.44/7,129.69 = 7,129.69/x
  3. Step 3: Cross multiply
    3,896.44x = 7,129.69 × 7,129.69
  4. Step 4: Simplify right side
    3,896.44x = 50,832,443.85
  5. Step 5: Solve for x
    x = 50,832,443.85/3,896.44
  6. Step 6: Final answer
    x = 13,045.88

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.