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Finding the Third Proportional to 135.84 and 289.69

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Solution

The third proportional to 135.84 and 289.69 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 289.69 = 289.69 : x
  2. Step 2: Convert to fraction form
    135.84/289.69 = 289.69/x
  3. Step 3: Cross multiply
    135.84x = 289.69 × 289.69
  4. Step 4: Simplify right side
    135.84x = 83,918.85
  5. Step 5: Solve for x
    x = 83,918.85/135.84
  6. Step 6: Final answer
    x = 617.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.