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Finding the Third Proportional to 120.66 and 258.47

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Solution

The third proportional to 120.66 and 258.47 is: 553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 258.47 = 258.47 : x
  2. Step 2: Convert to fraction form
    120.66/258.47 = 258.47/x
  3. Step 3: Cross multiply
    120.66x = 258.47 × 258.47
  4. Step 4: Simplify right side
    120.66x = 66,806.09
  5. Step 5: Solve for x
    x = 66,806.09/120.66
  6. Step 6: Final answer
    x = 553.69

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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.