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Finding the Third Proportional to 120.75 and 142.94

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Solution

The third proportional to 120.75 and 142.94 is: 169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 142.94 = 142.94 : x
  2. Step 2: Convert to fraction form
    120.75/142.94 = 142.94/x
  3. Step 3: Cross multiply
    120.75x = 142.94 × 142.94
  4. Step 4: Simplify right side
    120.75x = 20,431.13
  5. Step 5: Solve for x
    x = 20,431.13/120.75
  6. Step 6: Final answer
    x = 169.20

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.