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Finding the Third Proportional to 678,408 and 996,876

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Solution

The third proportional to 678,408 and 996,876 is: 1,464,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,408 : 996,876 = 996,876 : x
  2. Step 2: Convert to fraction form
    678,408/996,876 = 996,876/x
  3. Step 3: Cross multiply
    678,408x = 996,876 × 996,876
  4. Step 4: Simplify right side
    678,408x = 993,761,759,376
  5. Step 5: Solve for x
    x = 993,761,759,376/678,408
  6. Step 6: Final answer
    x = 1,464,843.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.