Home / 1,828-2,146

Finding the Third Proportional to 1,828 and 2,146

Calculator

Solution

The third proportional to 1,828 and 2,146 is: 2,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828 : 2,146 = 2,146 : x
  2. Step 2: Convert to fraction form
    1,828/2,146 = 2,146/x
  3. Step 3: Cross multiply
    1,828x = 2,146 × 2,146
  4. Step 4: Simplify right side
    1,828x = 4,605,316
  5. Step 5: Solve for x
    x = 4,605,316/1,828
  6. Step 6: Final answer
    x = 2,519.32

Related Problems

Find third proportional to 914 and 1,073
Half scale
Find third proportional to 3,656 and 4,292
Double scale
Find third proportional to 1,830 and 2,148
Similar ratio
Find third proportional to 2,742 and 3,219
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.