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Finding the Third Proportional to 327,605 and 440,230

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Solution

The third proportional to 327,605 and 440,230 is: 591,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,605 : 440,230 = 440,230 : x
  2. Step 2: Convert to fraction form
    327,605/440,230 = 440,230/x
  3. Step 3: Cross multiply
    327,605x = 440,230 × 440,230
  4. Step 4: Simplify right side
    327,605x = 193,802,452,900
  5. Step 5: Solve for x
    x = 193,802,452,900/327,605
  6. Step 6: Final answer
    x = 591,573.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.