Home / 620-1,414

Finding the Third Proportional to 620 and 1,414

Calculator

Solution

The third proportional to 620 and 1,414 is: 3,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    620 : 1,414 = 1,414 : x
  2. Step 2: Convert to fraction form
    620/1,414 = 1,414/x
  3. Step 3: Cross multiply
    620x = 1,414 × 1,414
  4. Step 4: Simplify right side
    620x = 1,999,396
  5. Step 5: Solve for x
    x = 1,999,396/620
  6. Step 6: Final answer
    x = 3,224.83

Related Problems

Find third proportional to 310 and 707
Half scale
Find third proportional to 1,240 and 2,828
Double scale
Find third proportional to 622 and 1,419
Similar ratio
Find third proportional to 930 and 2,121
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.