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Finding the Third Proportional to 9,997 and 16,661

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Solution

The third proportional to 9,997 and 16,661 is: 27,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997 : 16,661 = 16,661 : x
  2. Step 2: Convert to fraction form
    9,997/16,661 = 16,661/x
  3. Step 3: Cross multiply
    9,997x = 16,661 × 16,661
  4. Step 4: Simplify right side
    9,997x = 277,588,921
  5. Step 5: Solve for x
    x = 277,588,921/9,997
  6. Step 6: Final answer
    x = 27,767.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.