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Finding the Third Proportional to 135.35 and 251.48

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Solution

The third proportional to 135.35 and 251.48 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 251.48 = 251.48 : x
  2. Step 2: Convert to fraction form
    135.35/251.48 = 251.48/x
  3. Step 3: Cross multiply
    135.35x = 251.48 × 251.48
  4. Step 4: Simplify right side
    135.35x = 63,244.02
  5. Step 5: Solve for x
    x = 63,244.02/135.35
  6. Step 6: Final answer
    x = 467.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.