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Finding the Third Proportional to 120.23 and 182.88

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Solution

The third proportional to 120.23 and 182.88 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 182.88 = 182.88 : x
  2. Step 2: Convert to fraction form
    120.23/182.88 = 182.88/x
  3. Step 3: Cross multiply
    120.23x = 182.88 × 182.88
  4. Step 4: Simplify right side
    120.23x = 33,446.12
  5. Step 5: Solve for x
    x = 33,446.12/120.23
  6. Step 6: Final answer
    x = 278.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.