Home / 8,082-12,195

Finding the Third Proportional to 8,082 and 12,195

Calculator

Solution

The third proportional to 8,082 and 12,195 is: 18,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 12,195 = 12,195 : x
  2. Step 2: Convert to fraction form
    8,082/12,195 = 12,195/x
  3. Step 3: Cross multiply
    8,082x = 12,195 × 12,195
  4. Step 4: Simplify right side
    8,082x = 148,718,025
  5. Step 5: Solve for x
    x = 148,718,025/8,082
  6. Step 6: Final answer
    x = 18,401.14

Related Problems

Find third proportional to 4,041 and 6,097.50
Half scale
Find third proportional to 16,164 and 24,390
Double scale
Find third proportional to 8,084 and 12,198
Similar ratio
Find third proportional to 12,123 and 18,292.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.