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Finding the Third Proportional to 311,694 and 676,524

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Solution

The third proportional to 311,694 and 676,524 is: 1,468,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,694 : 676,524 = 676,524 : x
  2. Step 2: Convert to fraction form
    311,694/676,524 = 676,524/x
  3. Step 3: Cross multiply
    311,694x = 676,524 × 676,524
  4. Step 4: Simplify right side
    311,694x = 457,684,722,576
  5. Step 5: Solve for x
    x = 457,684,722,576/311,694
  6. Step 6: Final answer
    x = 1,468,378.35

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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.