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Finding the Third Proportional to 120 and 181.27

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Solution

The third proportional to 120 and 181.27 is: 273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 181.27 = 181.27 : x
  2. Step 2: Convert to fraction form
    120/181.27 = 181.27/x
  3. Step 3: Cross multiply
    120x = 181.27 × 181.27
  4. Step 4: Simplify right side
    120x = 32,857.23
  5. Step 5: Solve for x
    x = 32,857.23/120
  6. Step 6: Final answer
    x = 273.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.