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Finding the Third Proportional to 338,451 and 743,325

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Solution

The third proportional to 338,451 and 743,325 is: 1,632,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,451 : 743,325 = 743,325 : x
  2. Step 2: Convert to fraction form
    338,451/743,325 = 743,325/x
  3. Step 3: Cross multiply
    338,451x = 743,325 × 743,325
  4. Step 4: Simplify right side
    338,451x = 552,532,055,625
  5. Step 5: Solve for x
    x = 552,532,055,625/338,451
  6. Step 6: Final answer
    x = 1,632,531.90

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Why These Related Problems?

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