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Finding the Third Proportional to 85.97 and 175.03

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Solution

The third proportional to 85.97 and 175.03 is: 356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.97 : 175.03 = 175.03 : x
  2. Step 2: Convert to fraction form
    85.97/175.03 = 175.03/x
  3. Step 3: Cross multiply
    85.97x = 175.03 × 175.03
  4. Step 4: Simplify right side
    85.97x = 30,635.94
  5. Step 5: Solve for x
    x = 30,635.94/85.97
  6. Step 6: Final answer
    x = 356.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.