Home / 1,646-3,965

Finding the Third Proportional to 1,646 and 3,965

Calculator

Solution

The third proportional to 1,646 and 3,965 is: 9,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646 : 3,965 = 3,965 : x
  2. Step 2: Convert to fraction form
    1,646/3,965 = 3,965/x
  3. Step 3: Cross multiply
    1,646x = 3,965 × 3,965
  4. Step 4: Simplify right side
    1,646x = 15,721,225
  5. Step 5: Solve for x
    x = 15,721,225/1,646
  6. Step 6: Final answer
    x = 9,551.17

Related Problems

Find third proportional to 823 and 1,982.50
Half scale
Find third proportional to 3,292 and 7,930
Double scale
Find third proportional to 1,648 and 3,970
Similar ratio
Find third proportional to 2,469 and 5,947.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.