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Finding the Third Proportional to 121.94 and 258.88

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Solution

The third proportional to 121.94 and 258.88 is: 549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 258.88 = 258.88 : x
  2. Step 2: Convert to fraction form
    121.94/258.88 = 258.88/x
  3. Step 3: Cross multiply
    121.94x = 258.88 × 258.88
  4. Step 4: Simplify right side
    121.94x = 67,016.27
  5. Step 5: Solve for x
    x = 67,016.27/121.94
  6. Step 6: Final answer
    x = 549.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.