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Finding the Third Proportional to 106.63 and 137.16

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Solution

The third proportional to 106.63 and 137.16 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 137.16 = 137.16 : x
  2. Step 2: Convert to fraction form
    106.63/137.16 = 137.16/x
  3. Step 3: Cross multiply
    106.63x = 137.16 × 137.16
  4. Step 4: Simplify right side
    106.63x = 18,813.44
  5. Step 5: Solve for x
    x = 18,813.44/106.63
  6. Step 6: Final answer
    x = 176.44

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.