Home / 2,538-3,249

Finding the Third Proportional to 2,538 and 3,249

Calculator

Solution

The third proportional to 2,538 and 3,249 is: 4,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,249 = 3,249 : x
  2. Step 2: Convert to fraction form
    2,538/3,249 = 3,249/x
  3. Step 3: Cross multiply
    2,538x = 3,249 × 3,249
  4. Step 4: Simplify right side
    2,538x = 10,556,001
  5. Step 5: Solve for x
    x = 10,556,001/2,538
  6. Step 6: Final answer
    x = 4,159.18

Related Problems

Find third proportional to 1,269 and 1,624.50
Half scale
Find third proportional to 5,076 and 6,498
Double scale
Find third proportional to 2,540 and 3,252
Similar ratio
Find third proportional to 3,807 and 4,873.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.