Home / 2,822-3,284

Finding the Third Proportional to 2,822 and 3,284

Calculator

Solution

The third proportional to 2,822 and 3,284 is: 3,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822 : 3,284 = 3,284 : x
  2. Step 2: Convert to fraction form
    2,822/3,284 = 3,284/x
  3. Step 3: Cross multiply
    2,822x = 3,284 × 3,284
  4. Step 4: Simplify right side
    2,822x = 10,784,656
  5. Step 5: Solve for x
    x = 10,784,656/2,822
  6. Step 6: Final answer
    x = 3,821.64

Related Problems

Find third proportional to 1,411 and 1,642
Half scale
Find third proportional to 5,644 and 6,568
Double scale
Find third proportional to 2,824 and 3,286
Similar ratio
Find third proportional to 4,233 and 4,926
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.