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Finding the Third Proportional to 74.94 and 119.16

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Solution

The third proportional to 74.94 and 119.16 is: 189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 119.16 = 119.16 : x
  2. Step 2: Convert to fraction form
    74.94/119.16 = 119.16/x
  3. Step 3: Cross multiply
    74.94x = 119.16 × 119.16
  4. Step 4: Simplify right side
    74.94x = 14,198.21
  5. Step 5: Solve for x
    x = 14,198.21/74.94
  6. Step 6: Final answer
    x = 189.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.