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Finding the Third Proportional to 10,821 and 23,286

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Solution

The third proportional to 10,821 and 23,286 is: 50,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 23,286 = 23,286 : x
  2. Step 2: Convert to fraction form
    10,821/23,286 = 23,286/x
  3. Step 3: Cross multiply
    10,821x = 23,286 × 23,286
  4. Step 4: Simplify right side
    10,821x = 542,237,796
  5. Step 5: Solve for x
    x = 542,237,796/10,821
  6. Step 6: Final answer
    x = 50,109.77

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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.