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Finding the Third Proportional to 320,987 and 496,755

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Solution

The third proportional to 320,987 and 496,755 is: 768,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,987 : 496,755 = 496,755 : x
  2. Step 2: Convert to fraction form
    320,987/496,755 = 496,755/x
  3. Step 3: Cross multiply
    320,987x = 496,755 × 496,755
  4. Step 4: Simplify right side
    320,987x = 246,765,530,025
  5. Step 5: Solve for x
    x = 246,765,530,025/320,987
  6. Step 6: Final answer
    x = 768,771.10

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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.