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Finding the Third Proportional to 120.55 and 181.30

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Solution

The third proportional to 120.55 and 181.30 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.55 : 181.30 = 181.30 : x
  2. Step 2: Convert to fraction form
    120.55/181.30 = 181.30/x
  3. Step 3: Cross multiply
    120.55x = 181.30 × 181.30
  4. Step 4: Simplify right side
    120.55x = 32,869.97
  5. Step 5: Solve for x
    x = 32,869.97/120.55
  6. Step 6: Final answer
    x = 272.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.