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Finding the Third Proportional to 226.88 and 306.69

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Solution

The third proportional to 226.88 and 306.69 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 306.69 = 306.69 : x
  2. Step 2: Convert to fraction form
    226.88/306.69 = 306.69/x
  3. Step 3: Cross multiply
    226.88x = 306.69 × 306.69
  4. Step 4: Simplify right side
    226.88x = 94,057.22
  5. Step 5: Solve for x
    x = 94,057.22/226.88
  6. Step 6: Final answer
    x = 414.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.