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Finding the Third Proportional to 1,286 and 3,057

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Solution

The third proportional to 1,286 and 3,057 is: 7,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 3,057 = 3,057 : x
  2. Step 2: Convert to fraction form
    1,286/3,057 = 3,057/x
  3. Step 3: Cross multiply
    1,286x = 3,057 × 3,057
  4. Step 4: Simplify right side
    1,286x = 9,345,249
  5. Step 5: Solve for x
    x = 9,345,249/1,286
  6. Step 6: Final answer
    x = 7,266.91

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.