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Finding the Third Proportional to 135.84 and 225.56

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Solution

The third proportional to 135.84 and 225.56 is: 374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 225.56 = 225.56 : x
  2. Step 2: Convert to fraction form
    135.84/225.56 = 225.56/x
  3. Step 3: Cross multiply
    135.84x = 225.56 × 225.56
  4. Step 4: Simplify right side
    135.84x = 50,878.44
  5. Step 5: Solve for x
    x = 50,878.44/135.84
  6. Step 6: Final answer
    x = 374.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.