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Finding the Third Proportional to 119.94 and 136.38

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Solution

The third proportional to 119.94 and 136.38 is: 155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.94 : 136.38 = 136.38 : x
  2. Step 2: Convert to fraction form
    119.94/136.38 = 136.38/x
  3. Step 3: Cross multiply
    119.94x = 136.38 × 136.38
  4. Step 4: Simplify right side
    119.94x = 18,598.14
  5. Step 5: Solve for x
    x = 18,598.14/119.94
  6. Step 6: Final answer
    x = 155.07

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.