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Finding the Third Proportional to 338,491 and 743,410

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Solution

The third proportional to 338,491 and 743,410 is: 1,632,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,491 : 743,410 = 743,410 : x
  2. Step 2: Convert to fraction form
    338,491/743,410 = 743,410/x
  3. Step 3: Cross multiply
    338,491x = 743,410 × 743,410
  4. Step 4: Simplify right side
    338,491x = 552,658,428,100
  5. Step 5: Solve for x
    x = 552,658,428,100/338,491
  6. Step 6: Final answer
    x = 1,632,712.33

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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.