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Finding the Third Proportional to 320,991 and 496,761

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Solution

The third proportional to 320,991 and 496,761 is: 768,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,991 : 496,761 = 496,761 : x
  2. Step 2: Convert to fraction form
    320,991/496,761 = 496,761/x
  3. Step 3: Cross multiply
    320,991x = 496,761 × 496,761
  4. Step 4: Simplify right side
    320,991x = 246,771,491,121
  5. Step 5: Solve for x
    x = 246,771,491,121/320,991
  6. Step 6: Final answer
    x = 768,780.09

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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.