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Finding the Third Proportional to 100.75 and 167.13

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Solution

The third proportional to 100.75 and 167.13 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.75 : 167.13 = 167.13 : x
  2. Step 2: Convert to fraction form
    100.75/167.13 = 167.13/x
  3. Step 3: Cross multiply
    100.75x = 167.13 × 167.13
  4. Step 4: Simplify right side
    100.75x = 27,930.77
  5. Step 5: Solve for x
    x = 27,930.77/100.75
  6. Step 6: Final answer
    x = 277.23

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.