Home / 1,965-4,200

Finding the Third Proportional to 1,965 and 4,200

Calculator

Solution

The third proportional to 1,965 and 4,200 is: 8,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965 : 4,200 = 4,200 : x
  2. Step 2: Convert to fraction form
    1,965/4,200 = 4,200/x
  3. Step 3: Cross multiply
    1,965x = 4,200 × 4,200
  4. Step 4: Simplify right side
    1,965x = 17,640,000
  5. Step 5: Solve for x
    x = 17,640,000/1,965
  6. Step 6: Final answer
    x = 8,977.10

Related Problems

Find third proportional to 982.50 and 2,100
Half scale
Find third proportional to 3,930 and 8,400
Double scale
Find third proportional to 1,967 and 4,204
Similar ratio
Find third proportional to 2,947.50 and 6,300
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.