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Finding the Third Proportional to 120.87 and 258.82

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Solution

The third proportional to 120.87 and 258.82 is: 554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 258.82 = 258.82 : x
  2. Step 2: Convert to fraction form
    120.87/258.82 = 258.82/x
  3. Step 3: Cross multiply
    120.87x = 258.82 × 258.82
  4. Step 4: Simplify right side
    120.87x = 66,987.95
  5. Step 5: Solve for x
    x = 66,987.95/120.87
  6. Step 6: Final answer
    x = 554.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.