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Finding the Third Proportional to 12,984 and 16,644

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Solution

The third proportional to 12,984 and 16,644 is: 21,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 16,644 = 16,644 : x
  2. Step 2: Convert to fraction form
    12,984/16,644 = 16,644/x
  3. Step 3: Cross multiply
    12,984x = 16,644 × 16,644
  4. Step 4: Simplify right side
    12,984x = 277,022,736
  5. Step 5: Solve for x
    x = 277,022,736/12,984
  6. Step 6: Final answer
    x = 21,335.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.