Home / 1,422-2,231

Finding the Third Proportional to 1,422 and 2,231

Calculator

Solution

The third proportional to 1,422 and 2,231 is: 3,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422 : 2,231 = 2,231 : x
  2. Step 2: Convert to fraction form
    1,422/2,231 = 2,231/x
  3. Step 3: Cross multiply
    1,422x = 2,231 × 2,231
  4. Step 4: Simplify right side
    1,422x = 4,977,361
  5. Step 5: Solve for x
    x = 4,977,361/1,422
  6. Step 6: Final answer
    x = 3,500.25

Related Problems

Find third proportional to 711 and 1,115.50
Half scale
Find third proportional to 2,844 and 4,462
Double scale
Find third proportional to 1,424 and 2,234
Similar ratio
Find third proportional to 2,133 and 3,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.