Home / 1,414-2,118

Finding the Third Proportional to 1,414 and 2,118

Calculator

Solution

The third proportional to 1,414 and 2,118 is: 3,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414 : 2,118 = 2,118 : x
  2. Step 2: Convert to fraction form
    1,414/2,118 = 2,118/x
  3. Step 3: Cross multiply
    1,414x = 2,118 × 2,118
  4. Step 4: Simplify right side
    1,414x = 4,485,924
  5. Step 5: Solve for x
    x = 4,485,924/1,414
  6. Step 6: Final answer
    x = 3,172.51

Related Problems

Find third proportional to 707 and 1,059
Half scale
Find third proportional to 2,828 and 4,236
Double scale
Find third proportional to 1,416 and 2,121
Similar ratio
Find third proportional to 2,121 and 3,177
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.