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Finding the Third Proportional to 3,678.75 and 8,195.34

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Solution

The third proportional to 3,678.75 and 8,195.34 is: 18,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.75 : 8,195.34 = 8,195.34 : x
  2. Step 2: Convert to fraction form
    3,678.75/8,195.34 = 8,195.34/x
  3. Step 3: Cross multiply
    3,678.75x = 8,195.34 × 8,195.34
  4. Step 4: Simplify right side
    3,678.75x = 67,163,659.18
  5. Step 5: Solve for x
    x = 67,163,659.18/3,678.75
  6. Step 6: Final answer
    x = 18,257.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.