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Finding the Third Proportional to 75.75 and 120.14

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Solution

The third proportional to 75.75 and 120.14 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 120.14 = 120.14 : x
  2. Step 2: Convert to fraction form
    75.75/120.14 = 120.14/x
  3. Step 3: Cross multiply
    75.75x = 120.14 × 120.14
  4. Step 4: Simplify right side
    75.75x = 14,433.77
  5. Step 5: Solve for x
    x = 14,433.77/75.75
  6. Step 6: Final answer
    x = 190.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.