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Finding the Third Proportional to 111.38 and 270.84

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Solution

The third proportional to 111.38 and 270.84 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.38 : 270.84 = 270.84 : x
  2. Step 2: Convert to fraction form
    111.38/270.84 = 270.84/x
  3. Step 3: Cross multiply
    111.38x = 270.84 × 270.84
  4. Step 4: Simplify right side
    111.38x = 73,356.34
  5. Step 5: Solve for x
    x = 73,356.34/111.38
  6. Step 6: Final answer
    x = 658.64

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.