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Finding the Third Proportional to 225.70 and 331.59

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Solution

The third proportional to 225.70 and 331.59 is: 487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 331.59 = 331.59 : x
  2. Step 2: Convert to fraction form
    225.70/331.59 = 331.59/x
  3. Step 3: Cross multiply
    225.70x = 331.59 × 331.59
  4. Step 4: Simplify right side
    225.70x = 109,954.42
  5. Step 5: Solve for x
    x = 109,954.42/225.70
  6. Step 6: Final answer
    x = 487.16

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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.