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Finding the Third Proportional to 120.75 and 189.06

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Solution

The third proportional to 120.75 and 189.06 is: 296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 189.06 = 189.06 : x
  2. Step 2: Convert to fraction form
    120.75/189.06 = 189.06/x
  3. Step 3: Cross multiply
    120.75x = 189.06 × 189.06
  4. Step 4: Simplify right side
    120.75x = 35,744.63
  5. Step 5: Solve for x
    x = 35,744.63/120.75
  6. Step 6: Final answer
    x = 296.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.