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Finding the Third Proportional to 135.78 and 218.84

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Solution

The third proportional to 135.78 and 218.84 is: 352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.78 : 218.84 = 218.84 : x
  2. Step 2: Convert to fraction form
    135.78/218.84 = 218.84/x
  3. Step 3: Cross multiply
    135.78x = 218.84 × 218.84
  4. Step 4: Simplify right side
    135.78x = 47,892.59
  5. Step 5: Solve for x
    x = 47,892.59/135.78
  6. Step 6: Final answer
    x = 352.72

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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.