Home / 656-1,420

Finding the Third Proportional to 656 and 1,420

Calculator

Solution

The third proportional to 656 and 1,420 is: 3,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656 : 1,420 = 1,420 : x
  2. Step 2: Convert to fraction form
    656/1,420 = 1,420/x
  3. Step 3: Cross multiply
    656x = 1,420 × 1,420
  4. Step 4: Simplify right side
    656x = 2,016,400
  5. Step 5: Solve for x
    x = 2,016,400/656
  6. Step 6: Final answer
    x = 3,073.78

Related Problems

Find third proportional to 328 and 710
Half scale
Find third proportional to 1,312 and 2,840
Double scale
Find third proportional to 658 and 1,424
Similar ratio
Find third proportional to 984 and 2,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.