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Finding the Third Proportional to 311,472 and 677,619

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Solution

The third proportional to 311,472 and 677,619 is: 1,474,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,472 : 677,619 = 677,619 : x
  2. Step 2: Convert to fraction form
    311,472/677,619 = 677,619/x
  3. Step 3: Cross multiply
    311,472x = 677,619 × 677,619
  4. Step 4: Simplify right side
    311,472x = 459,167,509,161
  5. Step 5: Solve for x
    x = 459,167,509,161/311,472
  6. Step 6: Final answer
    x = 1,474,185.51

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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.