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Finding the Third Proportional to 355.25 and 552.38

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Solution

The third proportional to 355.25 and 552.38 is: 858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.25 : 552.38 = 552.38 : x
  2. Step 2: Convert to fraction form
    355.25/552.38 = 552.38/x
  3. Step 3: Cross multiply
    355.25x = 552.38 × 552.38
  4. Step 4: Simplify right side
    355.25x = 305,118.14
  5. Step 5: Solve for x
    x = 305,118.14/355.25
  6. Step 6: Final answer
    x = 858.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.