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Finding the Third Proportional to 120.16 and 184.20

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Solution

The third proportional to 120.16 and 184.20 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 184.20 = 184.20 : x
  2. Step 2: Convert to fraction form
    120.16/184.20 = 184.20/x
  3. Step 3: Cross multiply
    120.16x = 184.20 × 184.20
  4. Step 4: Simplify right side
    120.16x = 33,930.07
  5. Step 5: Solve for x
    x = 33,930.07/120.16
  6. Step 6: Final answer
    x = 282.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.