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Finding the Third Proportional to 1,286 and 3,006

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Solution

The third proportional to 1,286 and 3,006 is: 7,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 3,006 = 3,006 : x
  2. Step 2: Convert to fraction form
    1,286/3,006 = 3,006/x
  3. Step 3: Cross multiply
    1,286x = 3,006 × 3,006
  4. Step 4: Simplify right side
    1,286x = 9,036,036
  5. Step 5: Solve for x
    x = 9,036,036/1,286
  6. Step 6: Final answer
    x = 7,026.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.