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Finding the Third Proportional to 135.53 and 295.59

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Solution

The third proportional to 135.53 and 295.59 is: 644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 295.59 = 295.59 : x
  2. Step 2: Convert to fraction form
    135.53/295.59 = 295.59/x
  3. Step 3: Cross multiply
    135.53x = 295.59 × 295.59
  4. Step 4: Simplify right side
    135.53x = 87,375.67
  5. Step 5: Solve for x
    x = 87,375.67/135.53
  6. Step 6: Final answer
    x = 644.71

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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.