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Finding the Third Proportional to 135.56 and 218.18

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Solution

The third proportional to 135.56 and 218.18 is: 351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 218.18 = 218.18 : x
  2. Step 2: Convert to fraction form
    135.56/218.18 = 218.18/x
  3. Step 3: Cross multiply
    135.56x = 218.18 × 218.18
  4. Step 4: Simplify right side
    135.56x = 47,602.38
  5. Step 5: Solve for x
    x = 47,602.38/135.56
  6. Step 6: Final answer
    x = 351.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.