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Finding the Third Proportional to 112.64 and 137.18

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Solution

The third proportional to 112.64 and 137.18 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 137.18 = 137.18 : x
  2. Step 2: Convert to fraction form
    112.64/137.18 = 137.18/x
  3. Step 3: Cross multiply
    112.64x = 137.18 × 137.18
  4. Step 4: Simplify right side
    112.64x = 18,818.27
  5. Step 5: Solve for x
    x = 18,818.27/112.64
  6. Step 6: Final answer
    x = 167.06

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.