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Finding the Third Proportional to 77.25 and 182.38

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Solution

The third proportional to 77.25 and 182.38 is: 430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 182.38 = 182.38 : x
  2. Step 2: Convert to fraction form
    77.25/182.38 = 182.38/x
  3. Step 3: Cross multiply
    77.25x = 182.38 × 182.38
  4. Step 4: Simplify right side
    77.25x = 33,260.64
  5. Step 5: Solve for x
    x = 33,260.64/77.25
  6. Step 6: Final answer
    x = 430.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.