Home / 660-1,662

Finding the Third Proportional to 660 and 1,662

Calculator

Solution

The third proportional to 660 and 1,662 is: 4,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    660 : 1,662 = 1,662 : x
  2. Step 2: Convert to fraction form
    660/1,662 = 1,662/x
  3. Step 3: Cross multiply
    660x = 1,662 × 1,662
  4. Step 4: Simplify right side
    660x = 2,762,244
  5. Step 5: Solve for x
    x = 2,762,244/660
  6. Step 6: Final answer
    x = 4,185.22

Related Problems

Find third proportional to 330 and 831
Half scale
Find third proportional to 1,320 and 3,324
Double scale
Find third proportional to 662 and 1,667
Similar ratio
Find third proportional to 990 and 2,493
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.