Home / 8,106-12,207

Finding the Third Proportional to 8,106 and 12,207

Calculator

Solution

The third proportional to 8,106 and 12,207 is: 18,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106 : 12,207 = 12,207 : x
  2. Step 2: Convert to fraction form
    8,106/12,207 = 12,207/x
  3. Step 3: Cross multiply
    8,106x = 12,207 × 12,207
  4. Step 4: Simplify right side
    8,106x = 149,010,849
  5. Step 5: Solve for x
    x = 149,010,849/8,106
  6. Step 6: Final answer
    x = 18,382.78

Related Problems

Find third proportional to 4,053 and 6,103.50
Half scale
Find third proportional to 16,212 and 24,414
Double scale
Find third proportional to 8,108 and 12,210
Similar ratio
Find third proportional to 12,159 and 18,310.50
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.