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Finding the Third Proportional to 338,454.75 and 743,331

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Solution

The third proportional to 338,454.75 and 743,331 is: 1,632,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,454.75 : 743,331 = 743,331 : x
  2. Step 2: Convert to fraction form
    338,454.75/743,331 = 743,331/x
  3. Step 3: Cross multiply
    338,454.75x = 743,331 × 743,331
  4. Step 4: Simplify right side
    338,454.75x = 552,540,975,561
  5. Step 5: Solve for x
    x = 552,540,975,561/338,454.75
  6. Step 6: Final answer
    x = 1,632,540.17

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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.