Home / 2,160-2,824

Finding the Third Proportional to 2,160 and 2,824

Calculator

Solution

The third proportional to 2,160 and 2,824 is: 3,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160 : 2,824 = 2,824 : x
  2. Step 2: Convert to fraction form
    2,160/2,824 = 2,824/x
  3. Step 3: Cross multiply
    2,160x = 2,824 × 2,824
  4. Step 4: Simplify right side
    2,160x = 7,974,976
  5. Step 5: Solve for x
    x = 7,974,976/2,160
  6. Step 6: Final answer
    x = 3,692.12

Related Problems

Find third proportional to 1,080 and 1,412
Half scale
Find third proportional to 4,320 and 5,648
Double scale
Find third proportional to 2,162 and 2,827
Similar ratio
Find third proportional to 3,240 and 4,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.