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Finding the Third Proportional to 175.78 and 352.97

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Solution

The third proportional to 175.78 and 352.97 is: 708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.78 : 352.97 = 352.97 : x
  2. Step 2: Convert to fraction form
    175.78/352.97 = 352.97/x
  3. Step 3: Cross multiply
    175.78x = 352.97 × 352.97
  4. Step 4: Simplify right side
    175.78x = 124,586.94
  5. Step 5: Solve for x
    x = 124,586.94/175.78
  6. Step 6: Final answer
    x = 708.76

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.