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Finding the Third Proportional to 125.82 and 270.24

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Solution

The third proportional to 125.82 and 270.24 is: 580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 270.24 = 270.24 : x
  2. Step 2: Convert to fraction form
    125.82/270.24 = 270.24/x
  3. Step 3: Cross multiply
    125.82x = 270.24 × 270.24
  4. Step 4: Simplify right side
    125.82x = 73,028.20
  5. Step 5: Solve for x
    x = 73,028.20/125.82
  6. Step 6: Final answer
    x = 580.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.