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Finding the Third Proportional to 2,268.56 and 3,078.84

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Solution

The third proportional to 2,268.56 and 3,078.84 is: 4,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.56 : 3,078.84 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    2,268.56/3,078.84 = 3,078.84/x
  3. Step 3: Cross multiply
    2,268.56x = 3,078.84 × 3,078.84
  4. Step 4: Simplify right side
    2,268.56x = 9,479,278.84
  5. Step 5: Solve for x
    x = 9,479,278.84/2,268.56
  6. Step 6: Final answer
    x = 4,178.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.