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Finding the Third Proportional to 118.41 and 258.96

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Solution

The third proportional to 118.41 and 258.96 is: 566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.41 : 258.96 = 258.96 : x
  2. Step 2: Convert to fraction form
    118.41/258.96 = 258.96/x
  3. Step 3: Cross multiply
    118.41x = 258.96 × 258.96
  4. Step 4: Simplify right side
    118.41x = 67,060.77
  5. Step 5: Solve for x
    x = 67,060.77/118.41
  6. Step 6: Final answer
    x = 566.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.