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Finding the Third Proportional to 89.70 and 194.62

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Solution

The third proportional to 89.70 and 194.62 is: 422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 194.62 = 194.62 : x
  2. Step 2: Convert to fraction form
    89.70/194.62 = 194.62/x
  3. Step 3: Cross multiply
    89.70x = 194.62 × 194.62
  4. Step 4: Simplify right side
    89.70x = 37,876.75
  5. Step 5: Solve for x
    x = 37,876.75/89.70
  6. Step 6: Final answer
    x = 422.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.