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Finding the Third Proportional to 320,979 and 496,743

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Solution

The third proportional to 320,979 and 496,743 is: 768,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,979 : 496,743 = 496,743 : x
  2. Step 2: Convert to fraction form
    320,979/496,743 = 496,743/x
  3. Step 3: Cross multiply
    320,979x = 496,743 × 496,743
  4. Step 4: Simplify right side
    320,979x = 246,753,608,049
  5. Step 5: Solve for x
    x = 246,753,608,049/320,979
  6. Step 6: Final answer
    x = 768,753.12

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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.