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Finding the Third Proportional to 311,434 and 481,671

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Solution

The third proportional to 311,434 and 481,671 is: 744,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,434 : 481,671 = 481,671 : x
  2. Step 2: Convert to fraction form
    311,434/481,671 = 481,671/x
  3. Step 3: Cross multiply
    311,434x = 481,671 × 481,671
  4. Step 4: Simplify right side
    311,434x = 232,006,952,241
  5. Step 5: Solve for x
    x = 232,006,952,241/311,434
  6. Step 6: Final answer
    x = 744,963.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.