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Finding the Third Proportional to 135.56 and 246.66

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Solution

The third proportional to 135.56 and 246.66 is: 448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 246.66 = 246.66 : x
  2. Step 2: Convert to fraction form
    135.56/246.66 = 246.66/x
  3. Step 3: Cross multiply
    135.56x = 246.66 × 246.66
  4. Step 4: Simplify right side
    135.56x = 60,839.31
  5. Step 5: Solve for x
    x = 60,839.31/135.56
  6. Step 6: Final answer
    x = 448.79

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.