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Finding the Third Proportional to 297,677 and 449,249

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Solution

The third proportional to 297,677 and 449,249 is: 677,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,677 : 449,249 = 449,249 : x
  2. Step 2: Convert to fraction form
    297,677/449,249 = 449,249/x
  3. Step 3: Cross multiply
    297,677x = 449,249 × 449,249
  4. Step 4: Simplify right side
    297,677x = 201,824,664,001
  5. Step 5: Solve for x
    x = 201,824,664,001/297,677
  6. Step 6: Final answer
    x = 677,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.