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Finding the Third Proportional to 128.14 and 182.61

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Solution

The third proportional to 128.14 and 182.61 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 182.61 = 182.61 : x
  2. Step 2: Convert to fraction form
    128.14/182.61 = 182.61/x
  3. Step 3: Cross multiply
    128.14x = 182.61 × 182.61
  4. Step 4: Simplify right side
    128.14x = 33,344.94
  5. Step 5: Solve for x
    x = 33,344.94/128.14
  6. Step 6: Final answer
    x = 260.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.