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Finding the Third Proportional to 194.06 and 422.31

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Solution

The third proportional to 194.06 and 422.31 is: 919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 422.31 = 422.31 : x
  2. Step 2: Convert to fraction form
    194.06/422.31 = 422.31/x
  3. Step 3: Cross multiply
    194.06x = 422.31 × 422.31
  4. Step 4: Simplify right side
    194.06x = 178,347.85
  5. Step 5: Solve for x
    x = 178,347.85/194.06
  6. Step 6: Final answer
    x = 919.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.