Home / 9,219-13,829

Finding the Third Proportional to 9,219 and 13,829

Calculator

Solution

The third proportional to 9,219 and 13,829 is: 20,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219 : 13,829 = 13,829 : x
  2. Step 2: Convert to fraction form
    9,219/13,829 = 13,829/x
  3. Step 3: Cross multiply
    9,219x = 13,829 × 13,829
  4. Step 4: Simplify right side
    9,219x = 191,241,241
  5. Step 5: Solve for x
    x = 191,241,241/9,219
  6. Step 6: Final answer
    x = 20,744.25

Related Problems

Find third proportional to 4,609.50 and 6,914.50
Half scale
Find third proportional to 18,438 and 27,658
Double scale
Find third proportional to 9,221 and 13,832
Similar ratio
Find third proportional to 13,828.50 and 20,743.50
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.