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Finding the Third Proportional to 141 and 189.56

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Solution

The third proportional to 141 and 189.56 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 189.56 = 189.56 : x
  2. Step 2: Convert to fraction form
    141/189.56 = 189.56/x
  3. Step 3: Cross multiply
    141x = 189.56 × 189.56
  4. Step 4: Simplify right side
    141x = 35,933.94
  5. Step 5: Solve for x
    x = 35,933.94/141
  6. Step 6: Final answer
    x = 254.85

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.