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Finding the Third Proportional to 100,867 and 219,521

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Solution

The third proportional to 100,867 and 219,521 is: 477,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867 : 219,521 = 219,521 : x
  2. Step 2: Convert to fraction form
    100,867/219,521 = 219,521/x
  3. Step 3: Cross multiply
    100,867x = 219,521 × 219,521
  4. Step 4: Simplify right side
    100,867x = 48,189,469,441
  5. Step 5: Solve for x
    x = 48,189,469,441/100,867
  6. Step 6: Final answer
    x = 477,752.58

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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.