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Finding the Third Proportional to 2,550.38 and 3,901.22

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Solution

The third proportional to 2,550.38 and 3,901.22 is: 5,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.38 : 3,901.22 = 3,901.22 : x
  2. Step 2: Convert to fraction form
    2,550.38/3,901.22 = 3,901.22/x
  3. Step 3: Cross multiply
    2,550.38x = 3,901.22 × 3,901.22
  4. Step 4: Simplify right side
    2,550.38x = 15,219,507.74
  5. Step 5: Solve for x
    x = 15,219,507.74/2,550.38
  6. Step 6: Final answer
    x = 5,967.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.