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Finding the Third Proportional to 3,057.75 and 7,251.19

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Solution

The third proportional to 3,057.75 and 7,251.19 is: 17,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.75 : 7,251.19 = 7,251.19 : x
  2. Step 2: Convert to fraction form
    3,057.75/7,251.19 = 7,251.19/x
  3. Step 3: Cross multiply
    3,057.75x = 7,251.19 × 7,251.19
  4. Step 4: Simplify right side
    3,057.75x = 52,579,720.16
  5. Step 5: Solve for x
    x = 52,579,720.16/3,057.75
  6. Step 6: Final answer
    x = 17,195.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.