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Finding the Third Proportional to 331.44 and 487.56

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Solution

The third proportional to 331.44 and 487.56 is: 717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.44 : 487.56 = 487.56 : x
  2. Step 2: Convert to fraction form
    331.44/487.56 = 487.56/x
  3. Step 3: Cross multiply
    331.44x = 487.56 × 487.56
  4. Step 4: Simplify right side
    331.44x = 237,717.19
  5. Step 5: Solve for x
    x = 237,717.19/331.44
  6. Step 6: Final answer
    x = 717.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.