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Finding the Third Proportional to 338,493 and 743,415

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Solution

The third proportional to 338,493 and 743,415 is: 1,632,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,493 : 743,415 = 743,415 : x
  2. Step 2: Convert to fraction form
    338,493/743,415 = 743,415/x
  3. Step 3: Cross multiply
    338,493x = 743,415 × 743,415
  4. Step 4: Simplify right side
    338,493x = 552,665,862,225
  5. Step 5: Solve for x
    x = 552,665,862,225/338,493
  6. Step 6: Final answer
    x = 1,632,724.64

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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.