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Finding the Third Proportional to 189.94 and 269.06

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Solution

The third proportional to 189.94 and 269.06 is: 381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 269.06 = 269.06 : x
  2. Step 2: Convert to fraction form
    189.94/269.06 = 269.06/x
  3. Step 3: Cross multiply
    189.94x = 269.06 × 269.06
  4. Step 4: Simplify right side
    189.94x = 72,394.63
  5. Step 5: Solve for x
    x = 72,394.63/189.94
  6. Step 6: Final answer
    x = 381.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.