Home / 1,961-3,970

Finding the Third Proportional to 1,961 and 3,970

Calculator

Solution

The third proportional to 1,961 and 3,970 is: 8,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961 : 3,970 = 3,970 : x
  2. Step 2: Convert to fraction form
    1,961/3,970 = 3,970/x
  3. Step 3: Cross multiply
    1,961x = 3,970 × 3,970
  4. Step 4: Simplify right side
    1,961x = 15,760,900
  5. Step 5: Solve for x
    x = 15,760,900/1,961
  6. Step 6: Final answer
    x = 8,037.17

Related Problems

Find third proportional to 980.50 and 1,985
Half scale
Find third proportional to 3,922 and 7,940
Double scale
Find third proportional to 1,963 and 3,974
Similar ratio
Find third proportional to 2,941.50 and 5,955
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.