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Finding the Third Proportional to 94 and 167.75

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Solution

The third proportional to 94 and 167.75 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94 : 167.75 = 167.75 : x
  2. Step 2: Convert to fraction form
    94/167.75 = 167.75/x
  3. Step 3: Cross multiply
    94x = 167.75 × 167.75
  4. Step 4: Simplify right side
    94x = 28,140.06
  5. Step 5: Solve for x
    x = 28,140.06/94
  6. Step 6: Final answer
    x = 299.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.