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Finding the Third Proportional to 3,546 and 8,194

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Solution

The third proportional to 3,546 and 8,194 is: 18,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 8,194 = 8,194 : x
  2. Step 2: Convert to fraction form
    3,546/8,194 = 8,194/x
  3. Step 3: Cross multiply
    3,546x = 8,194 × 8,194
  4. Step 4: Simplify right side
    3,546x = 67,141,636
  5. Step 5: Solve for x
    x = 67,141,636/3,546
  6. Step 6: Final answer
    x = 18,934.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.