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Finding the Third Proportional to 8,122 and 12,749

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Solution

The third proportional to 8,122 and 12,749 is: 20,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122 : 12,749 = 12,749 : x
  2. Step 2: Convert to fraction form
    8,122/12,749 = 12,749/x
  3. Step 3: Cross multiply
    8,122x = 12,749 × 12,749
  4. Step 4: Simplify right side
    8,122x = 162,537,001
  5. Step 5: Solve for x
    x = 162,537,001/8,122
  6. Step 6: Final answer
    x = 20,011.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.