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Finding the Third Proportional to 197,927 and 431,375

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Solution

The third proportional to 197,927 and 431,375 is: 940,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,927 : 431,375 = 431,375 : x
  2. Step 2: Convert to fraction form
    197,927/431,375 = 431,375/x
  3. Step 3: Cross multiply
    197,927x = 431,375 × 431,375
  4. Step 4: Simplify right side
    197,927x = 186,084,390,625
  5. Step 5: Solve for x
    x = 186,084,390,625/197,927
  6. Step 6: Final answer
    x = 940,166.78

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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.