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Finding the Third Proportional to 135.66 and 295.37

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Solution

The third proportional to 135.66 and 295.37 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 295.37 = 295.37 : x
  2. Step 2: Convert to fraction form
    135.66/295.37 = 295.37/x
  3. Step 3: Cross multiply
    135.66x = 295.37 × 295.37
  4. Step 4: Simplify right side
    135.66x = 87,240.62
  5. Step 5: Solve for x
    x = 87,240.62/135.66
  6. Step 6: Final answer
    x = 643.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.