Home / 1,660-1,966

Finding the Third Proportional to 1,660 and 1,966

Calculator

Solution

The third proportional to 1,660 and 1,966 is: 2,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 1,966 = 1,966 : x
  2. Step 2: Convert to fraction form
    1,660/1,966 = 1,966/x
  3. Step 3: Cross multiply
    1,660x = 1,966 × 1,966
  4. Step 4: Simplify right side
    1,660x = 3,865,156
  5. Step 5: Solve for x
    x = 3,865,156/1,660
  6. Step 6: Final answer
    x = 2,328.41

Related Problems

Find third proportional to 830 and 983
Half scale
Find third proportional to 3,320 and 3,932
Double scale
Find third proportional to 1,662 and 1,968
Similar ratio
Find third proportional to 2,490 and 2,949
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.