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Finding the Third Proportional to 10,890 and 16,857

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Solution

The third proportional to 10,890 and 16,857 is: 26,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890 : 16,857 = 16,857 : x
  2. Step 2: Convert to fraction form
    10,890/16,857 = 16,857/x
  3. Step 3: Cross multiply
    10,890x = 16,857 × 16,857
  4. Step 4: Simplify right side
    10,890x = 284,158,449
  5. Step 5: Solve for x
    x = 284,158,449/10,890
  6. Step 6: Final answer
    x = 26,093.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.