Home / 2,262-3,211

Finding the Third Proportional to 2,262 and 3,211

Calculator

Solution

The third proportional to 2,262 and 3,211 is: 4,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262 : 3,211 = 3,211 : x
  2. Step 2: Convert to fraction form
    2,262/3,211 = 3,211/x
  3. Step 3: Cross multiply
    2,262x = 3,211 × 3,211
  4. Step 4: Simplify right side
    2,262x = 10,310,521
  5. Step 5: Solve for x
    x = 10,310,521/2,262
  6. Step 6: Final answer
    x = 4,558.14

Related Problems

Find third proportional to 1,131 and 1,605.50
Half scale
Find third proportional to 4,524 and 6,422
Double scale
Find third proportional to 2,264 and 3,214
Similar ratio
Find third proportional to 3,393 and 4,816.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.