Home / 5,419-8,129

Finding the Third Proportional to 5,419 and 8,129

Calculator

Solution

The third proportional to 5,419 and 8,129 is: 12,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 8,129 = 8,129 : x
  2. Step 2: Convert to fraction form
    5,419/8,129 = 8,129/x
  3. Step 3: Cross multiply
    5,419x = 8,129 × 8,129
  4. Step 4: Simplify right side
    5,419x = 66,080,641
  5. Step 5: Solve for x
    x = 66,080,641/5,419
  6. Step 6: Final answer
    x = 12,194.25

Related Problems

Find third proportional to 2,709.50 and 4,064.50
Half scale
Find third proportional to 10,838 and 16,258
Double scale
Find third proportional to 5,421 and 8,132
Similar ratio
Find third proportional to 8,128.50 and 12,193.50
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.