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Finding the Third Proportional to 101,908 and 211,016

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Solution

The third proportional to 101,908 and 211,016 is: 436,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908 : 211,016 = 211,016 : x
  2. Step 2: Convert to fraction form
    101,908/211,016 = 211,016/x
  3. Step 3: Cross multiply
    101,908x = 211,016 × 211,016
  4. Step 4: Simplify right side
    101,908x = 44,527,752,256
  5. Step 5: Solve for x
    x = 44,527,752,256/101,908
  6. Step 6: Final answer
    x = 436,940.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.