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Finding the Third Proportional to 7,857 and 17,286

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Solution

The third proportional to 7,857 and 17,286 is: 38,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 17,286 = 17,286 : x
  2. Step 2: Convert to fraction form
    7,857/17,286 = 17,286/x
  3. Step 3: Cross multiply
    7,857x = 17,286 × 17,286
  4. Step 4: Simplify right side
    7,857x = 298,805,796
  5. Step 5: Solve for x
    x = 298,805,796/7,857
  6. Step 6: Final answer
    x = 38,030.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.