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Finding the Third Proportional to 133.52 and 276.54

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Solution

The third proportional to 133.52 and 276.54 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 276.54 = 276.54 : x
  2. Step 2: Convert to fraction form
    133.52/276.54 = 276.54/x
  3. Step 3: Cross multiply
    133.52x = 276.54 × 276.54
  4. Step 4: Simplify right side
    133.52x = 76,473.85
  5. Step 5: Solve for x
    x = 76,473.85/133.52
  6. Step 6: Final answer
    x = 572.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.