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Finding the Third Proportional to 135.42 and 313.88

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Solution

The third proportional to 135.42 and 313.88 is: 727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 313.88 = 313.88 : x
  2. Step 2: Convert to fraction form
    135.42/313.88 = 313.88/x
  3. Step 3: Cross multiply
    135.42x = 313.88 × 313.88
  4. Step 4: Simplify right side
    135.42x = 98,517.52
  5. Step 5: Solve for x
    x = 98,517.52/135.42
  6. Step 6: Final answer
    x = 727.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.