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Finding the Third Proportional to 320,125.50 and 479,351.25

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Solution

The third proportional to 320,125.50 and 479,351.25 is: 717,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,125.50 : 479,351.25 = 479,351.25 : x
  2. Step 2: Convert to fraction form
    320,125.50/479,351.25 = 479,351.25/x
  3. Step 3: Cross multiply
    320,125.50x = 479,351.25 × 479,351.25
  4. Step 4: Simplify right side
    320,125.50x = 229,777,620,876.56
  5. Step 5: Solve for x
    x = 229,777,620,876.56/320,125.50
  6. Step 6: Final answer
    x = 717,773.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.