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Finding the Third Proportional to 311,434 and 481,163

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Solution

The third proportional to 311,434 and 481,163 is: 743,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,434 : 481,163 = 481,163 : x
  2. Step 2: Convert to fraction form
    311,434/481,163 = 481,163/x
  3. Step 3: Cross multiply
    311,434x = 481,163 × 481,163
  4. Step 4: Simplify right side
    311,434x = 231,517,832,569
  5. Step 5: Solve for x
    x = 231,517,832,569/311,434
  6. Step 6: Final answer
    x = 743,392.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.