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Finding the Third Proportional to 100,467 and 218,412

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Solution

The third proportional to 100,467 and 218,412 is: 474,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467 : 218,412 = 218,412 : x
  2. Step 2: Convert to fraction form
    100,467/218,412 = 218,412/x
  3. Step 3: Cross multiply
    100,467x = 218,412 × 218,412
  4. Step 4: Simplify right side
    100,467x = 47,703,801,744
  5. Step 5: Solve for x
    x = 47,703,801,744/100,467
  6. Step 6: Final answer
    x = 474,820.61

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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.