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Finding the Third Proportional to 321,257 and 451,267

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Solution

The third proportional to 321,257 and 451,267 is: 633,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,257 : 451,267 = 451,267 : x
  2. Step 2: Convert to fraction form
    321,257/451,267 = 451,267/x
  3. Step 3: Cross multiply
    321,257x = 451,267 × 451,267
  4. Step 4: Simplify right side
    321,257x = 203,641,905,289
  5. Step 5: Solve for x
    x = 203,641,905,289/321,257
  6. Step 6: Final answer
    x = 633,890.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.