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Finding the Third Proportional to 82.69 and 125.16

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Solution

The third proportional to 82.69 and 125.16 is: 189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 125.16 = 125.16 : x
  2. Step 2: Convert to fraction form
    82.69/125.16 = 125.16/x
  3. Step 3: Cross multiply
    82.69x = 125.16 × 125.16
  4. Step 4: Simplify right side
    82.69x = 15,664.09
  5. Step 5: Solve for x
    x = 15,664.09/82.69
  6. Step 6: Final answer
    x = 189.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.