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Finding the Third Proportional to 12,969 and 21,381

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Solution

The third proportional to 12,969 and 21,381 is: 35,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 21,381 = 21,381 : x
  2. Step 2: Convert to fraction form
    12,969/21,381 = 21,381/x
  3. Step 3: Cross multiply
    12,969x = 21,381 × 21,381
  4. Step 4: Simplify right side
    12,969x = 457,147,161
  5. Step 5: Solve for x
    x = 457,147,161/12,969
  6. Step 6: Final answer
    x = 35,249.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.