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Finding the Third Proportional to 8,659 and 16,401

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Solution

The third proportional to 8,659 and 16,401 is: 31,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659 : 16,401 = 16,401 : x
  2. Step 2: Convert to fraction form
    8,659/16,401 = 16,401/x
  3. Step 3: Cross multiply
    8,659x = 16,401 × 16,401
  4. Step 4: Simplify right side
    8,659x = 268,992,801
  5. Step 5: Solve for x
    x = 268,992,801/8,659
  6. Step 6: Final answer
    x = 31,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.