Home / 441-821

Finding the Third Proportional to 441 and 821

Calculator

Solution

The third proportional to 441 and 821 is: 1,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441 : 821 = 821 : x
  2. Step 2: Convert to fraction form
    441/821 = 821/x
  3. Step 3: Cross multiply
    441x = 821 × 821
  4. Step 4: Simplify right side
    441x = 674,041
  5. Step 5: Solve for x
    x = 674,041/441
  6. Step 6: Final answer
    x = 1,528.44

Related Problems

Find third proportional to 220.50 and 410.50
Half scale
Find third proportional to 882 and 1,642
Double scale
Find third proportional to 443 and 825
Similar ratio
Find third proportional to 661.50 and 1,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.