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Finding the Third Proportional to 311,879 and 482,723

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Solution

The third proportional to 311,879 and 482,723 is: 747,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,879 : 482,723 = 482,723 : x
  2. Step 2: Convert to fraction form
    311,879/482,723 = 482,723/x
  3. Step 3: Cross multiply
    311,879x = 482,723 × 482,723
  4. Step 4: Simplify right side
    311,879x = 233,021,494,729
  5. Step 5: Solve for x
    x = 233,021,494,729/311,879
  6. Step 6: Final answer
    x = 747,153.53

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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.