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Finding the Third Proportional to 8,212 and 12,102

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Solution

The third proportional to 8,212 and 12,102 is: 17,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 12,102 = 12,102 : x
  2. Step 2: Convert to fraction form
    8,212/12,102 = 12,102/x
  3. Step 3: Cross multiply
    8,212x = 12,102 × 12,102
  4. Step 4: Simplify right side
    8,212x = 146,458,404
  5. Step 5: Solve for x
    x = 146,458,404/8,212
  6. Step 6: Final answer
    x = 17,834.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.