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Finding the Third Proportional to 112.75 and 178.38

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Solution

The third proportional to 112.75 and 178.38 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 178.38 = 178.38 : x
  2. Step 2: Convert to fraction form
    112.75/178.38 = 178.38/x
  3. Step 3: Cross multiply
    112.75x = 178.38 × 178.38
  4. Step 4: Simplify right side
    112.75x = 31,817.64
  5. Step 5: Solve for x
    x = 31,817.64/112.75
  6. Step 6: Final answer
    x = 282.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.