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Finding the Third Proportional to 100,512 and 208,314

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Solution

The third proportional to 100,512 and 208,314 is: 431,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512 : 208,314 = 208,314 : x
  2. Step 2: Convert to fraction form
    100,512/208,314 = 208,314/x
  3. Step 3: Cross multiply
    100,512x = 208,314 × 208,314
  4. Step 4: Simplify right side
    100,512x = 43,394,722,596
  5. Step 5: Solve for x
    x = 43,394,722,596/100,512
  6. Step 6: Final answer
    x = 431,736.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.