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Finding the Third Proportional to 415,378 and 622,375

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Solution

The third proportional to 415,378 and 622,375 is: 932,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,378 : 622,375 = 622,375 : x
  2. Step 2: Convert to fraction form
    415,378/622,375 = 622,375/x
  3. Step 3: Cross multiply
    415,378x = 622,375 × 622,375
  4. Step 4: Simplify right side
    415,378x = 387,350,640,625
  5. Step 5: Solve for x
    x = 387,350,640,625/415,378
  6. Step 6: Final answer
    x = 932,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.