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Finding the Third Proportional to 189.12 and 229.92

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Solution

The third proportional to 189.12 and 229.92 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 229.92 = 229.92 : x
  2. Step 2: Convert to fraction form
    189.12/229.92 = 229.92/x
  3. Step 3: Cross multiply
    189.12x = 229.92 × 229.92
  4. Step 4: Simplify right side
    189.12x = 52,864.07
  5. Step 5: Solve for x
    x = 52,864.07/189.12
  6. Step 6: Final answer
    x = 279.53

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.