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Finding the Third Proportional to 100,578 and 221,244

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Solution

The third proportional to 100,578 and 221,244 is: 486,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578 : 221,244 = 221,244 : x
  2. Step 2: Convert to fraction form
    100,578/221,244 = 221,244/x
  3. Step 3: Cross multiply
    100,578x = 221,244 × 221,244
  4. Step 4: Simplify right side
    100,578x = 48,948,907,536
  5. Step 5: Solve for x
    x = 48,948,907,536/100,578
  6. Step 6: Final answer
    x = 486,676.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.