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Finding the Third Proportional to 311,796 and 496,138.50

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Solution

The third proportional to 311,796 and 496,138.50 is: 789,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,796 : 496,138.50 = 496,138.50 : x
  2. Step 2: Convert to fraction form
    311,796/496,138.50 = 496,138.50/x
  3. Step 3: Cross multiply
    311,796x = 496,138.50 × 496,138.50
  4. Step 4: Simplify right side
    311,796x = 246,153,411,182.25
  5. Step 5: Solve for x
    x = 246,153,411,182.25/311,796
  6. Step 6: Final answer
    x = 789,469.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.