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Finding the Third Proportional to 1,287.14 and 2,745.14

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Solution

The third proportional to 1,287.14 and 2,745.14 is: 5,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.14 : 2,745.14 = 2,745.14 : x
  2. Step 2: Convert to fraction form
    1,287.14/2,745.14 = 2,745.14/x
  3. Step 3: Cross multiply
    1,287.14x = 2,745.14 × 2,745.14
  4. Step 4: Simplify right side
    1,287.14x = 7,535,797.05
  5. Step 5: Solve for x
    x = 7,535,797.05/1,287.14
  6. Step 6: Final answer
    x = 5,854.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.