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Finding the Third Proportional to 120.14 and 261.90

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Solution

The third proportional to 120.14 and 261.90 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 261.90 = 261.90 : x
  2. Step 2: Convert to fraction form
    120.14/261.90 = 261.90/x
  3. Step 3: Cross multiply
    120.14x = 261.90 × 261.90
  4. Step 4: Simplify right side
    120.14x = 68,589.19
  5. Step 5: Solve for x
    x = 68,589.19/120.14
  6. Step 6: Final answer
    x = 570.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.