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Finding the Third Proportional to 320,239.50 and 491,213.25

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Solution

The third proportional to 320,239.50 and 491,213.25 is: 753,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,239.50 : 491,213.25 = 491,213.25 : x
  2. Step 2: Convert to fraction form
    320,239.50/491,213.25 = 491,213.25/x
  3. Step 3: Cross multiply
    320,239.50x = 491,213.25 × 491,213.25
  4. Step 4: Simplify right side
    320,239.50x = 241,290,456,975.56
  5. Step 5: Solve for x
    x = 241,290,456,975.56/320,239.50
  6. Step 6: Final answer
    x = 753,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.