Home / 2,170-3,812

Finding the Third Proportional to 2,170 and 3,812

Calculator

Solution

The third proportional to 2,170 and 3,812 is: 6,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 3,812 = 3,812 : x
  2. Step 2: Convert to fraction form
    2,170/3,812 = 3,812/x
  3. Step 3: Cross multiply
    2,170x = 3,812 × 3,812
  4. Step 4: Simplify right side
    2,170x = 14,531,344
  5. Step 5: Solve for x
    x = 14,531,344/2,170
  6. Step 6: Final answer
    x = 6,696.47

Related Problems

Find third proportional to 1,085 and 1,906
Half scale
Find third proportional to 4,340 and 7,624
Double scale
Find third proportional to 2,172 and 3,816
Similar ratio
Find third proportional to 3,255 and 5,718
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.