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Finding the Third Proportional to 311,418 and 481,651

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Solution

The third proportional to 311,418 and 481,651 is: 744,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,418 : 481,651 = 481,651 : x
  2. Step 2: Convert to fraction form
    311,418/481,651 = 481,651/x
  3. Step 3: Cross multiply
    311,418x = 481,651 × 481,651
  4. Step 4: Simplify right side
    311,418x = 231,987,685,801
  5. Step 5: Solve for x
    x = 231,987,685,801/311,418
  6. Step 6: Final answer
    x = 744,939.87

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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.