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Finding the Third Proportional to 136.69 and 299.95

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Solution

The third proportional to 136.69 and 299.95 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 299.95 = 299.95 : x
  2. Step 2: Convert to fraction form
    136.69/299.95 = 299.95/x
  3. Step 3: Cross multiply
    136.69x = 299.95 × 299.95
  4. Step 4: Simplify right side
    136.69x = 89,971.88
  5. Step 5: Solve for x
    x = 89,971.88/136.69
  6. Step 6: Final answer
    x = 658.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.