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Finding the Third Proportional to 8,212 and 18,152

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Solution

The third proportional to 8,212 and 18,152 is: 40,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 18,152 = 18,152 : x
  2. Step 2: Convert to fraction form
    8,212/18,152 = 18,152/x
  3. Step 3: Cross multiply
    8,212x = 18,152 × 18,152
  4. Step 4: Simplify right side
    8,212x = 329,495,104
  5. Step 5: Solve for x
    x = 329,495,104/8,212
  6. Step 6: Final answer
    x = 40,123.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.