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Finding the Third Proportional to 198,652 and 431,170

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Solution

The third proportional to 198,652 and 431,170 is: 935,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,652 : 431,170 = 431,170 : x
  2. Step 2: Convert to fraction form
    198,652/431,170 = 431,170/x
  3. Step 3: Cross multiply
    198,652x = 431,170 × 431,170
  4. Step 4: Simplify right side
    198,652x = 185,907,568,900
  5. Step 5: Solve for x
    x = 185,907,568,900/198,652
  6. Step 6: Final answer
    x = 935,845.44

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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.