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Finding the Third Proportional to 338,107 and 523,257

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Solution

The third proportional to 338,107 and 523,257 is: 809,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,107 : 523,257 = 523,257 : x
  2. Step 2: Convert to fraction form
    338,107/523,257 = 523,257/x
  3. Step 3: Cross multiply
    338,107x = 523,257 × 523,257
  4. Step 4: Simplify right side
    338,107x = 273,797,888,049
  5. Step 5: Solve for x
    x = 273,797,888,049/338,107
  6. Step 6: Final answer
    x = 809,796.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.