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Finding the Third Proportional to 137.11 and 270.56

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Solution

The third proportional to 137.11 and 270.56 is: 533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.11 : 270.56 = 270.56 : x
  2. Step 2: Convert to fraction form
    137.11/270.56 = 270.56/x
  3. Step 3: Cross multiply
    137.11x = 270.56 × 270.56
  4. Step 4: Simplify right side
    137.11x = 73,204.07
  5. Step 5: Solve for x
    x = 73,204.07/137.11
  6. Step 6: Final answer
    x = 533.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.