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Finding the Third Proportional to 167.75 and 268.38

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Solution

The third proportional to 167.75 and 268.38 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 268.38 = 268.38 : x
  2. Step 2: Convert to fraction form
    167.75/268.38 = 268.38/x
  3. Step 3: Cross multiply
    167.75x = 268.38 × 268.38
  4. Step 4: Simplify right side
    167.75x = 72,025.14
  5. Step 5: Solve for x
    x = 72,025.14/167.75
  6. Step 6: Final answer
    x = 429.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.