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Finding the Third Proportional to 100,371 and 218,241

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Solution

The third proportional to 100,371 and 218,241 is: 474,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,371 : 218,241 = 218,241 : x
  2. Step 2: Convert to fraction form
    100,371/218,241 = 218,241/x
  3. Step 3: Cross multiply
    100,371x = 218,241 × 218,241
  4. Step 4: Simplify right side
    100,371x = 47,629,134,081
  5. Step 5: Solve for x
    x = 47,629,134,081/100,371
  6. Step 6: Final answer
    x = 474,530.83

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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.