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Finding the Third Proportional to 194.94 and 309.97

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Solution

The third proportional to 194.94 and 309.97 is: 492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 309.97 = 309.97 : x
  2. Step 2: Convert to fraction form
    194.94/309.97 = 309.97/x
  3. Step 3: Cross multiply
    194.94x = 309.97 × 309.97
  4. Step 4: Simplify right side
    194.94x = 96,080.63
  5. Step 5: Solve for x
    x = 96,080.63/194.94
  6. Step 6: Final answer
    x = 492.88

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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.