Home / 6,086-8,219

Finding the Third Proportional to 6,086 and 8,219

Calculator

Solution

The third proportional to 6,086 and 8,219 is: 11,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 8,219 = 8,219 : x
  2. Step 2: Convert to fraction form
    6,086/8,219 = 8,219/x
  3. Step 3: Cross multiply
    6,086x = 8,219 × 8,219
  4. Step 4: Simplify right side
    6,086x = 67,551,961
  5. Step 5: Solve for x
    x = 67,551,961/6,086
  6. Step 6: Final answer
    x = 11,099.57

Related Problems

Find third proportional to 3,043 and 4,109.50
Half scale
Find third proportional to 12,172 and 16,438
Double scale
Find third proportional to 6,088 and 8,222
Similar ratio
Find third proportional to 9,129 and 12,328.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.