Home / 2,085-2,790

Finding the Third Proportional to 2,085 and 2,790

Calculator

Solution

The third proportional to 2,085 and 2,790 is: 3,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 2,790 = 2,790 : x
  2. Step 2: Convert to fraction form
    2,085/2,790 = 2,790/x
  3. Step 3: Cross multiply
    2,085x = 2,790 × 2,790
  4. Step 4: Simplify right side
    2,085x = 7,784,100
  5. Step 5: Solve for x
    x = 7,784,100/2,085
  6. Step 6: Final answer
    x = 3,733.38

Related Problems

Find third proportional to 1,042.50 and 1,395
Half scale
Find third proportional to 4,170 and 5,580
Double scale
Find third proportional to 2,087 and 2,793
Similar ratio
Find third proportional to 3,127.50 and 4,185
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.