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Finding the Third Proportional to 112.92 and 143.58

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Solution

The third proportional to 112.92 and 143.58 is: 182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 143.58 = 143.58 : x
  2. Step 2: Convert to fraction form
    112.92/143.58 = 143.58/x
  3. Step 3: Cross multiply
    112.92x = 143.58 × 143.58
  4. Step 4: Simplify right side
    112.92x = 20,614.68
  5. Step 5: Solve for x
    x = 20,614.68/112.92
  6. Step 6: Final answer
    x = 182.56

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.