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Finding the Third Proportional to 101,212 and 217,993

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Solution

The third proportional to 101,212 and 217,993 is: 469,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,212 : 217,993 = 217,993 : x
  2. Step 2: Convert to fraction form
    101,212/217,993 = 217,993/x
  3. Step 3: Cross multiply
    101,212x = 217,993 × 217,993
  4. Step 4: Simplify right side
    101,212x = 47,520,948,049
  5. Step 5: Solve for x
    x = 47,520,948,049/101,212
  6. Step 6: Final answer
    x = 469,518.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.