Home / 8,156-12,214

Finding the Third Proportional to 8,156 and 12,214

Calculator

Solution

The third proportional to 8,156 and 12,214 is: 18,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156 : 12,214 = 12,214 : x
  2. Step 2: Convert to fraction form
    8,156/12,214 = 12,214/x
  3. Step 3: Cross multiply
    8,156x = 12,214 × 12,214
  4. Step 4: Simplify right side
    8,156x = 149,181,796
  5. Step 5: Solve for x
    x = 149,181,796/8,156
  6. Step 6: Final answer
    x = 18,291.05

Related Problems

Find third proportional to 4,078 and 6,107
Half scale
Find third proportional to 16,312 and 24,428
Double scale
Find third proportional to 8,158 and 12,217
Similar ratio
Find third proportional to 12,234 and 18,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.