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Finding the Third Proportional to 2,686 and 5,039

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Solution

The third proportional to 2,686 and 5,039 is: 9,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 5,039 = 5,039 : x
  2. Step 2: Convert to fraction form
    2,686/5,039 = 5,039/x
  3. Step 3: Cross multiply
    2,686x = 5,039 × 5,039
  4. Step 4: Simplify right side
    2,686x = 25,391,521
  5. Step 5: Solve for x
    x = 25,391,521/2,686
  6. Step 6: Final answer
    x = 9,453.28

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.