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Finding the Third Proportional to 120.66 and 245.11

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Solution

The third proportional to 120.66 and 245.11 is: 497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 245.11 = 245.11 : x
  2. Step 2: Convert to fraction form
    120.66/245.11 = 245.11/x
  3. Step 3: Cross multiply
    120.66x = 245.11 × 245.11
  4. Step 4: Simplify right side
    120.66x = 60,078.61
  5. Step 5: Solve for x
    x = 60,078.61/120.66
  6. Step 6: Final answer
    x = 497.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.