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Finding the Third Proportional to 1,268.75 and 2,940.38

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Solution

The third proportional to 1,268.75 and 2,940.38 is: 6,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.75 : 2,940.38 = 2,940.38 : x
  2. Step 2: Convert to fraction form
    1,268.75/2,940.38 = 2,940.38/x
  3. Step 3: Cross multiply
    1,268.75x = 2,940.38 × 2,940.38
  4. Step 4: Simplify right side
    1,268.75x = 8,645,805.14
  5. Step 5: Solve for x
    x = 8,645,805.14/1,268.75
  6. Step 6: Final answer
    x = 6,814.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.