Home / 1,824-3,690

Finding the Third Proportional to 1,824 and 3,690

Calculator

Solution

The third proportional to 1,824 and 3,690 is: 7,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824 : 3,690 = 3,690 : x
  2. Step 2: Convert to fraction form
    1,824/3,690 = 3,690/x
  3. Step 3: Cross multiply
    1,824x = 3,690 × 3,690
  4. Step 4: Simplify right side
    1,824x = 13,616,100
  5. Step 5: Solve for x
    x = 13,616,100/1,824
  6. Step 6: Final answer
    x = 7,464.97

Related Problems

Find third proportional to 912 and 1,845
Half scale
Find third proportional to 3,648 and 7,380
Double scale
Find third proportional to 1,826 and 3,694
Similar ratio
Find third proportional to 2,736 and 5,535
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.