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Finding the Third Proportional to 3,751.31 and 5,427.56

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Solution

The third proportional to 3,751.31 and 5,427.56 is: 7,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.31 : 5,427.56 = 5,427.56 : x
  2. Step 2: Convert to fraction form
    3,751.31/5,427.56 = 5,427.56/x
  3. Step 3: Cross multiply
    3,751.31x = 5,427.56 × 5,427.56
  4. Step 4: Simplify right side
    3,751.31x = 29,458,434.69
  5. Step 5: Solve for x
    x = 29,458,434.69/3,751.31
  6. Step 6: Final answer
    x = 7,852.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.