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Finding the Third Proportional to 3,636 and 8,427

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Solution

The third proportional to 3,636 and 8,427 is: 19,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636 : 8,427 = 8,427 : x
  2. Step 2: Convert to fraction form
    3,636/8,427 = 8,427/x
  3. Step 3: Cross multiply
    3,636x = 8,427 × 8,427
  4. Step 4: Simplify right side
    3,636x = 71,014,329
  5. Step 5: Solve for x
    x = 71,014,329/3,636
  6. Step 6: Final answer
    x = 19,530.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.