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Finding the Third Proportional to 100,817 and 221,286

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Solution

The third proportional to 100,817 and 221,286 is: 485,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,817 : 221,286 = 221,286 : x
  2. Step 2: Convert to fraction form
    100,817/221,286 = 221,286/x
  3. Step 3: Cross multiply
    100,817x = 221,286 × 221,286
  4. Step 4: Simplify right side
    100,817x = 48,967,493,796
  5. Step 5: Solve for x
    x = 48,967,493,796/100,817
  6. Step 6: Final answer
    x = 485,706.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.