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Finding the Third Proportional to 135.84 and 218.67

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Solution

The third proportional to 135.84 and 218.67 is: 352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 218.67 = 218.67 : x
  2. Step 2: Convert to fraction form
    135.84/218.67 = 218.67/x
  3. Step 3: Cross multiply
    135.84x = 218.67 × 218.67
  4. Step 4: Simplify right side
    135.84x = 47,817.39
  5. Step 5: Solve for x
    x = 47,817.39/135.84
  6. Step 6: Final answer
    x = 352.00

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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.