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Finding the Third Proportional to 203,920 and 310,375

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Solution

The third proportional to 203,920 and 310,375 is: 472,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920 : 310,375 = 310,375 : x
  2. Step 2: Convert to fraction form
    203,920/310,375 = 310,375/x
  3. Step 3: Cross multiply
    203,920x = 310,375 × 310,375
  4. Step 4: Simplify right side
    203,920x = 96,332,640,625
  5. Step 5: Solve for x
    x = 96,332,640,625/203,920
  6. Step 6: Final answer
    x = 472,404.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.