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Finding the Third Proportional to 85.75 and 170.38

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Solution

The third proportional to 85.75 and 170.38 is: 338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 170.38 = 170.38 : x
  2. Step 2: Convert to fraction form
    85.75/170.38 = 170.38/x
  3. Step 3: Cross multiply
    85.75x = 170.38 × 170.38
  4. Step 4: Simplify right side
    85.75x = 29,027.64
  5. Step 5: Solve for x
    x = 29,027.64/85.75
  6. Step 6: Final answer
    x = 338.51

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.