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Finding the Third Proportional to 106.25 and 141.49

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Solution

The third proportional to 106.25 and 141.49 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 141.49 = 141.49 : x
  2. Step 2: Convert to fraction form
    106.25/141.49 = 141.49/x
  3. Step 3: Cross multiply
    106.25x = 141.49 × 141.49
  4. Step 4: Simplify right side
    106.25x = 20,020.25
  5. Step 5: Solve for x
    x = 20,020.25/106.25
  6. Step 6: Final answer
    x = 188.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.