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Finding the Third Proportional to 481.57 and 591.21

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Solution

The third proportional to 481.57 and 591.21 is: 725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.57 : 591.21 = 591.21 : x
  2. Step 2: Convert to fraction form
    481.57/591.21 = 591.21/x
  3. Step 3: Cross multiply
    481.57x = 591.21 × 591.21
  4. Step 4: Simplify right side
    481.57x = 349,523.44
  5. Step 5: Solve for x
    x = 349,523.44/481.57
  6. Step 6: Final answer
    x = 725.80

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.