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Finding the Third Proportional to 6,739 and 15,857

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Solution

The third proportional to 6,739 and 15,857 is: 37,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739 : 15,857 = 15,857 : x
  2. Step 2: Convert to fraction form
    6,739/15,857 = 15,857/x
  3. Step 3: Cross multiply
    6,739x = 15,857 × 15,857
  4. Step 4: Simplify right side
    6,739x = 251,444,449
  5. Step 5: Solve for x
    x = 251,444,449/6,739
  6. Step 6: Final answer
    x = 37,311.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.