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Finding the Third Proportional to 120.75 and 191.25

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Solution

The third proportional to 120.75 and 191.25 is: 302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 191.25 = 191.25 : x
  2. Step 2: Convert to fraction form
    120.75/191.25 = 191.25/x
  3. Step 3: Cross multiply
    120.75x = 191.25 × 191.25
  4. Step 4: Simplify right side
    120.75x = 36,576.56
  5. Step 5: Solve for x
    x = 36,576.56/120.75
  6. Step 6: Final answer
    x = 302.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.