Home / 1,268-1,902

Finding the Third Proportional to 1,268 and 1,902

Calculator

Solution

The third proportional to 1,268 and 1,902 is: 2,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268 : 1,902 = 1,902 : x
  2. Step 2: Convert to fraction form
    1,268/1,902 = 1,902/x
  3. Step 3: Cross multiply
    1,268x = 1,902 × 1,902
  4. Step 4: Simplify right side
    1,268x = 3,617,604
  5. Step 5: Solve for x
    x = 3,617,604/1,268
  6. Step 6: Final answer
    x = 2,853

Related Problems

Find third proportional to 634 and 951
Half scale
Find third proportional to 2,536 and 3,804
Double scale
Find third proportional to 1,270 and 1,905
Similar ratio
Find third proportional to 1,902 and 2,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.