Home / 682-821

Finding the Third Proportional to 682 and 821

Calculator

Solution

The third proportional to 682 and 821 is: 988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682 : 821 = 821 : x
  2. Step 2: Convert to fraction form
    682/821 = 821/x
  3. Step 3: Cross multiply
    682x = 821 × 821
  4. Step 4: Simplify right side
    682x = 674,041
  5. Step 5: Solve for x
    x = 674,041/682
  6. Step 6: Final answer
    x = 988.33

Related Problems

Find third proportional to 341 and 410.50
Half scale
Find third proportional to 1,364 and 1,642
Double scale
Find third proportional to 684 and 823
Similar ratio
Find third proportional to 1,023 and 1,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.