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Finding the Third Proportional to 96.50 and 224.38

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Solution

The third proportional to 96.50 and 224.38 is: 521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 224.38 = 224.38 : x
  2. Step 2: Convert to fraction form
    96.50/224.38 = 224.38/x
  3. Step 3: Cross multiply
    96.50x = 224.38 × 224.38
  4. Step 4: Simplify right side
    96.50x = 50,344.14
  5. Step 5: Solve for x
    x = 50,344.14/96.50
  6. Step 6: Final answer
    x = 521.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.