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Finding the Third Proportional to 100,759 and 211,857

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Solution

The third proportional to 100,759 and 211,857 is: 445,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,759 : 211,857 = 211,857 : x
  2. Step 2: Convert to fraction form
    100,759/211,857 = 211,857/x
  3. Step 3: Cross multiply
    100,759x = 211,857 × 211,857
  4. Step 4: Simplify right side
    100,759x = 44,883,388,449
  5. Step 5: Solve for x
    x = 44,883,388,449/100,759
  6. Step 6: Final answer
    x = 445,452.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.