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Finding the Third Proportional to 311,067 and 653,463

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Solution

The third proportional to 311,067 and 653,463 is: 1,372,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 653,463 = 653,463 : x
  2. Step 2: Convert to fraction form
    311,067/653,463 = 653,463/x
  3. Step 3: Cross multiply
    311,067x = 653,463 × 653,463
  4. Step 4: Simplify right side
    311,067x = 427,013,892,369
  5. Step 5: Solve for x
    x = 427,013,892,369/311,067
  6. Step 6: Final answer
    x = 1,372,739.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.