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Finding the Third Proportional to 120.09 and 270.56

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Solution

The third proportional to 120.09 and 270.56 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 270.56 = 270.56 : x
  2. Step 2: Convert to fraction form
    120.09/270.56 = 270.56/x
  3. Step 3: Cross multiply
    120.09x = 270.56 × 270.56
  4. Step 4: Simplify right side
    120.09x = 73,204.07
  5. Step 5: Solve for x
    x = 73,204.07/120.09
  6. Step 6: Final answer
    x = 609.56

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.