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Finding the Third Proportional to 56.44 and 82.09

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Solution

The third proportional to 56.44 and 82.09 is: 119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.44 : 82.09 = 82.09 : x
  2. Step 2: Convert to fraction form
    56.44/82.09 = 82.09/x
  3. Step 3: Cross multiply
    56.44x = 82.09 × 82.09
  4. Step 4: Simplify right side
    56.44x = 6,739.38
  5. Step 5: Solve for x
    x = 6,739.38/56.44
  6. Step 6: Final answer
    x = 119.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.