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Finding the Third Proportional to 16,661 and 36,238

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Solution

The third proportional to 16,661 and 36,238 is: 78,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661 : 36,238 = 36,238 : x
  2. Step 2: Convert to fraction form
    16,661/36,238 = 36,238/x
  3. Step 3: Cross multiply
    16,661x = 36,238 × 36,238
  4. Step 4: Simplify right side
    16,661x = 1,313,192,644
  5. Step 5: Solve for x
    x = 1,313,192,644/16,661
  6. Step 6: Final answer
    x = 78,818.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.