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Finding the Third Proportional to 311,684 and 676,569

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Solution

The third proportional to 311,684 and 676,569 is: 1,468,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,684 : 676,569 = 676,569 : x
  2. Step 2: Convert to fraction form
    311,684/676,569 = 676,569/x
  3. Step 3: Cross multiply
    311,684x = 676,569 × 676,569
  4. Step 4: Simplify right side
    311,684x = 457,745,611,761
  5. Step 5: Solve for x
    x = 457,745,611,761/311,684
  6. Step 6: Final answer
    x = 1,468,620.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.