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Finding the Third Proportional to 863 and 1,857

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Solution

The third proportional to 863 and 1,857 is: 3,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863 : 1,857 = 1,857 : x
  2. Step 2: Convert to fraction form
    863/1,857 = 1,857/x
  3. Step 3: Cross multiply
    863x = 1,857 × 1,857
  4. Step 4: Simplify right side
    863x = 3,448,449
  5. Step 5: Solve for x
    x = 3,448,449/863
  6. Step 6: Final answer
    x = 3,995.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.