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Finding the Third Proportional to 100,467 and 218,916

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Solution

The third proportional to 100,467 and 218,916 is: 477,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467 : 218,916 = 218,916 : x
  2. Step 2: Convert to fraction form
    100,467/218,916 = 218,916/x
  3. Step 3: Cross multiply
    100,467x = 218,916 × 218,916
  4. Step 4: Simplify right side
    100,467x = 47,924,215,056
  5. Step 5: Solve for x
    x = 47,924,215,056/100,467
  6. Step 6: Final answer
    x = 477,014.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.