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Finding the Third Proportional to 120.09 and 254.53

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Solution

The third proportional to 120.09 and 254.53 is: 539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 254.53 = 254.53 : x
  2. Step 2: Convert to fraction form
    120.09/254.53 = 254.53/x
  3. Step 3: Cross multiply
    120.09x = 254.53 × 254.53
  4. Step 4: Simplify right side
    120.09x = 64,786.16
  5. Step 5: Solve for x
    x = 64,786.16/120.09
  6. Step 6: Final answer
    x = 539.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.