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Finding the Third Proportional to 120.94 and 189.56

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Solution

The third proportional to 120.94 and 189.56 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 189.56 = 189.56 : x
  2. Step 2: Convert to fraction form
    120.94/189.56 = 189.56/x
  3. Step 3: Cross multiply
    120.94x = 189.56 × 189.56
  4. Step 4: Simplify right side
    120.94x = 35,933.94
  5. Step 5: Solve for x
    x = 35,933.94/120.94
  6. Step 6: Final answer
    x = 297.13

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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.