Home / 1,233-1,986

Finding the Third Proportional to 1,233 and 1,986

Calculator

Solution

The third proportional to 1,233 and 1,986 is: 3,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233 : 1,986 = 1,986 : x
  2. Step 2: Convert to fraction form
    1,233/1,986 = 1,986/x
  3. Step 3: Cross multiply
    1,233x = 1,986 × 1,986
  4. Step 4: Simplify right side
    1,233x = 3,944,196
  5. Step 5: Solve for x
    x = 3,944,196/1,233
  6. Step 6: Final answer
    x = 3,198.86

Related Problems

Find third proportional to 616.50 and 993
Half scale
Find third proportional to 2,466 and 3,972
Double scale
Find third proportional to 1,235 and 1,989
Similar ratio
Find third proportional to 1,849.50 and 2,979
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.