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Finding the Third Proportional to 100,206 and 217,512

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Solution

The third proportional to 100,206 and 217,512 is: 472,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206 : 217,512 = 217,512 : x
  2. Step 2: Convert to fraction form
    100,206/217,512 = 217,512/x
  3. Step 3: Cross multiply
    100,206x = 217,512 × 217,512
  4. Step 4: Simplify right side
    100,206x = 47,311,470,144
  5. Step 5: Solve for x
    x = 47,311,470,144/100,206
  6. Step 6: Final answer
    x = 472,142.09

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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.