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Finding the Third Proportional to 311,571 and 677,817

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Solution

The third proportional to 311,571 and 677,817 is: 1,474,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,571 : 677,817 = 677,817 : x
  2. Step 2: Convert to fraction form
    311,571/677,817 = 677,817/x
  3. Step 3: Cross multiply
    311,571x = 677,817 × 677,817
  4. Step 4: Simplify right side
    311,571x = 459,435,885,489
  5. Step 5: Solve for x
    x = 459,435,885,489/311,571
  6. Step 6: Final answer
    x = 1,474,578.46

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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.