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Finding the Third Proportional to 8,212 and 18,182

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Solution

The third proportional to 8,212 and 18,182 is: 40,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 18,182 = 18,182 : x
  2. Step 2: Convert to fraction form
    8,212/18,182 = 18,182/x
  3. Step 3: Cross multiply
    8,212x = 18,182 × 18,182
  4. Step 4: Simplify right side
    8,212x = 330,585,124
  5. Step 5: Solve for x
    x = 330,585,124/8,212
  6. Step 6: Final answer
    x = 40,256.35

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1.5x scale

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.