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Finding the Third Proportional to 338,470 and 743,375

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Solution

The third proportional to 338,470 and 743,375 is: 1,632,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,470 : 743,375 = 743,375 : x
  2. Step 2: Convert to fraction form
    338,470/743,375 = 743,375/x
  3. Step 3: Cross multiply
    338,470x = 743,375 × 743,375
  4. Step 4: Simplify right side
    338,470x = 552,606,390,625
  5. Step 5: Solve for x
    x = 552,606,390,625/338,470
  6. Step 6: Final answer
    x = 1,632,659.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.