Home / 4,212-8,019

Finding the Third Proportional to 4,212 and 8,019

Calculator

Solution

The third proportional to 4,212 and 8,019 is: 15,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 8,019 = 8,019 : x
  2. Step 2: Convert to fraction form
    4,212/8,019 = 8,019/x
  3. Step 3: Cross multiply
    4,212x = 8,019 × 8,019
  4. Step 4: Simplify right side
    4,212x = 64,304,361
  5. Step 5: Solve for x
    x = 64,304,361/4,212
  6. Step 6: Final answer
    x = 15,266.94

Related Problems

Find third proportional to 2,106 and 4,009.50
Half scale
Find third proportional to 8,424 and 16,038
Double scale
Find third proportional to 4,214 and 8,023
Similar ratio
Find third proportional to 6,318 and 12,028.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.