Home / 1,770-1,974

Finding the Third Proportional to 1,770 and 1,974

Calculator

Solution

The third proportional to 1,770 and 1,974 is: 2,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 1,974 = 1,974 : x
  2. Step 2: Convert to fraction form
    1,770/1,974 = 1,974/x
  3. Step 3: Cross multiply
    1,770x = 1,974 × 1,974
  4. Step 4: Simplify right side
    1,770x = 3,896,676
  5. Step 5: Solve for x
    x = 3,896,676/1,770
  6. Step 6: Final answer
    x = 2,201.51

Related Problems

Find third proportional to 885 and 987
Half scale
Find third proportional to 3,540 and 3,948
Double scale
Find third proportional to 1,772 and 1,976
Similar ratio
Find third proportional to 2,655 and 2,961
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.