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Finding the Third Proportional to 320,805.75 and 496,679.25

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Solution

The third proportional to 320,805.75 and 496,679.25 is: 768,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,805.75 : 496,679.25 = 496,679.25 : x
  2. Step 2: Convert to fraction form
    320,805.75/496,679.25 = 496,679.25/x
  3. Step 3: Cross multiply
    320,805.75x = 496,679.25 × 496,679.25
  4. Step 4: Simplify right side
    320,805.75x = 246,690,277,380.56
  5. Step 5: Solve for x
    x = 246,690,277,380.56/320,805.75
  6. Step 6: Final answer
    x = 768,970.87

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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.