Home / 7,286-16,821

Finding the Third Proportional to 7,286 and 16,821

Calculator

Solution

The third proportional to 7,286 and 16,821 is: 38,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286 : 16,821 = 16,821 : x
  2. Step 2: Convert to fraction form
    7,286/16,821 = 16,821/x
  3. Step 3: Cross multiply
    7,286x = 16,821 × 16,821
  4. Step 4: Simplify right side
    7,286x = 282,946,041
  5. Step 5: Solve for x
    x = 282,946,041/7,286
  6. Step 6: Final answer
    x = 38,834.21

Related Problems

Find third proportional to 3,643 and 8,410.50
Half scale
Find third proportional to 14,572 and 33,642
Double scale
Find third proportional to 7,288 and 16,826
Similar ratio
Find third proportional to 10,929 and 25,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.