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Finding the Third Proportional to 3,808 and 8,184

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Solution

The third proportional to 3,808 and 8,184 is: 17,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808 : 8,184 = 8,184 : x
  2. Step 2: Convert to fraction form
    3,808/8,184 = 8,184/x
  3. Step 3: Cross multiply
    3,808x = 8,184 × 8,184
  4. Step 4: Simplify right side
    3,808x = 66,977,856
  5. Step 5: Solve for x
    x = 66,977,856/3,808
  6. Step 6: Final answer
    x = 17,588.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.