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Finding the Third Proportional to 101,891 and 221,286

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Solution

The third proportional to 101,891 and 221,286 is: 480,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891 : 221,286 = 221,286 : x
  2. Step 2: Convert to fraction form
    101,891/221,286 = 221,286/x
  3. Step 3: Cross multiply
    101,891x = 221,286 × 221,286
  4. Step 4: Simplify right side
    101,891x = 48,967,493,796
  5. Step 5: Solve for x
    x = 48,967,493,796/101,891
  6. Step 6: Final answer
    x = 480,587.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.