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Finding the Third Proportional to 338,497 and 743,422

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Solution

The third proportional to 338,497 and 743,422 is: 1,632,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,497 : 743,422 = 743,422 : x
  2. Step 2: Convert to fraction form
    338,497/743,422 = 743,422/x
  3. Step 3: Cross multiply
    338,497x = 743,422 × 743,422
  4. Step 4: Simplify right side
    338,497x = 552,676,270,084
  5. Step 5: Solve for x
    x = 552,676,270,084/338,497
  6. Step 6: Final answer
    x = 1,632,736.10

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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.