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Finding the Third Proportional to 120.14 and 185.28

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Solution

The third proportional to 120.14 and 185.28 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 185.28 = 185.28 : x
  2. Step 2: Convert to fraction form
    120.14/185.28 = 185.28/x
  3. Step 3: Cross multiply
    120.14x = 185.28 × 185.28
  4. Step 4: Simplify right side
    120.14x = 34,327.06
  5. Step 5: Solve for x
    x = 34,327.06/120.14
  6. Step 6: Final answer
    x = 285.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.