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Finding the Third Proportional to 451,257 and 676,983

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Solution

The third proportional to 451,257 and 676,983 is: 1,015,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,257 : 676,983 = 676,983 : x
  2. Step 2: Convert to fraction form
    451,257/676,983 = 676,983/x
  3. Step 3: Cross multiply
    451,257x = 676,983 × 676,983
  4. Step 4: Simplify right side
    451,257x = 458,305,982,289
  5. Step 5: Solve for x
    x = 458,305,982,289/451,257
  6. Step 6: Final answer
    x = 1,015,620.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.