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Finding the Third Proportional to 331.24 and 487.66

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Solution

The third proportional to 331.24 and 487.66 is: 717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.24 : 487.66 = 487.66 : x
  2. Step 2: Convert to fraction form
    331.24/487.66 = 487.66/x
  3. Step 3: Cross multiply
    331.24x = 487.66 × 487.66
  4. Step 4: Simplify right side
    331.24x = 237,813.38
  5. Step 5: Solve for x
    x = 237,813.38/331.24
  6. Step 6: Final answer
    x = 717.95

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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.