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Finding the Third Proportional to 311,576 and 677,826

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Solution

The third proportional to 311,576 and 677,826 is: 1,474,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,576 : 677,826 = 677,826 : x
  2. Step 2: Convert to fraction form
    311,576/677,826 = 677,826/x
  3. Step 3: Cross multiply
    311,576x = 677,826 × 677,826
  4. Step 4: Simplify right side
    311,576x = 459,448,086,276
  5. Step 5: Solve for x
    x = 459,448,086,276/311,576
  6. Step 6: Final answer
    x = 1,474,593.96

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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.