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Finding the Third Proportional to 8,322 and 13,269

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Solution

The third proportional to 8,322 and 13,269 is: 21,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322 : 13,269 = 13,269 : x
  2. Step 2: Convert to fraction form
    8,322/13,269 = 13,269/x
  3. Step 3: Cross multiply
    8,322x = 13,269 × 13,269
  4. Step 4: Simplify right side
    8,322x = 176,066,361
  5. Step 5: Solve for x
    x = 176,066,361/8,322
  6. Step 6: Final answer
    x = 21,156.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.