Home / 816-2,022

Finding the Third Proportional to 816 and 2,022

Calculator

Solution

The third proportional to 816 and 2,022 is: 5,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 2,022 = 2,022 : x
  2. Step 2: Convert to fraction form
    816/2,022 = 2,022/x
  3. Step 3: Cross multiply
    816x = 2,022 × 2,022
  4. Step 4: Simplify right side
    816x = 4,088,484
  5. Step 5: Solve for x
    x = 4,088,484/816
  6. Step 6: Final answer
    x = 5,010.40

Related Problems

Find third proportional to 408 and 1,011
Half scale
Find third proportional to 1,632 and 4,044
Double scale
Find third proportional to 818 and 2,027
Similar ratio
Find third proportional to 1,224 and 3,033
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.