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Finding the Third Proportional to 224.75 and 332.13

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Solution

The third proportional to 224.75 and 332.13 is: 490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.75 : 332.13 = 332.13 : x
  2. Step 2: Convert to fraction form
    224.75/332.13 = 332.13/x
  3. Step 3: Cross multiply
    224.75x = 332.13 × 332.13
  4. Step 4: Simplify right side
    224.75x = 110,307.02
  5. Step 5: Solve for x
    x = 110,307.02/224.75
  6. Step 6: Final answer
    x = 490.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.