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Finding the Third Proportional to 144.94 and 258.09

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Solution

The third proportional to 144.94 and 258.09 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 258.09 = 258.09 : x
  2. Step 2: Convert to fraction form
    144.94/258.09 = 258.09/x
  3. Step 3: Cross multiply
    144.94x = 258.09 × 258.09
  4. Step 4: Simplify right side
    144.94x = 66,612.38
  5. Step 5: Solve for x
    x = 66,612.38/144.94
  6. Step 6: Final answer
    x = 459.59

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.