Home / 8,176-12,231

Finding the Third Proportional to 8,176 and 12,231

Calculator

Solution

The third proportional to 8,176 and 12,231 is: 18,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 12,231 = 12,231 : x
  2. Step 2: Convert to fraction form
    8,176/12,231 = 12,231/x
  3. Step 3: Cross multiply
    8,176x = 12,231 × 12,231
  4. Step 4: Simplify right side
    8,176x = 149,597,361
  5. Step 5: Solve for x
    x = 149,597,361/8,176
  6. Step 6: Final answer
    x = 18,297.13

Related Problems

Find third proportional to 4,088 and 6,115.50
Half scale
Find third proportional to 16,352 and 24,462
Double scale
Find third proportional to 8,178 and 12,234
Similar ratio
Find third proportional to 12,264 and 18,346.50
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.