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Finding the Third Proportional to 258.05 and 418.92

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Solution

The third proportional to 258.05 and 418.92 is: 680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.05 : 418.92 = 418.92 : x
  2. Step 2: Convert to fraction form
    258.05/418.92 = 418.92/x
  3. Step 3: Cross multiply
    258.05x = 418.92 × 418.92
  4. Step 4: Simplify right side
    258.05x = 175,495.54
  5. Step 5: Solve for x
    x = 175,495.54/258.05
  6. Step 6: Final answer
    x = 680.09

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.