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Finding the Third Proportional to 320,817 and 496,695

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Solution

The third proportional to 320,817 and 496,695 is: 768,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,817 : 496,695 = 496,695 : x
  2. Step 2: Convert to fraction form
    320,817/496,695 = 496,695/x
  3. Step 3: Cross multiply
    320,817x = 496,695 × 496,695
  4. Step 4: Simplify right side
    320,817x = 246,705,923,025
  5. Step 5: Solve for x
    x = 246,705,923,025/320,817
  6. Step 6: Final answer
    x = 768,992.68

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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.