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Finding the Third Proportional to 311,567 and 677,809

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Solution

The third proportional to 311,567 and 677,809 is: 1,474,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,567 : 677,809 = 677,809 : x
  2. Step 2: Convert to fraction form
    311,567/677,809 = 677,809/x
  3. Step 3: Cross multiply
    311,567x = 677,809 × 677,809
  4. Step 4: Simplify right side
    311,567x = 459,425,040,481
  5. Step 5: Solve for x
    x = 459,425,040,481/311,567
  6. Step 6: Final answer
    x = 1,474,562.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.