Home / 652-1,420

Finding the Third Proportional to 652 and 1,420

Calculator

Solution

The third proportional to 652 and 1,420 is: 3,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652 : 1,420 = 1,420 : x
  2. Step 2: Convert to fraction form
    652/1,420 = 1,420/x
  3. Step 3: Cross multiply
    652x = 1,420 × 1,420
  4. Step 4: Simplify right side
    652x = 2,016,400
  5. Step 5: Solve for x
    x = 2,016,400/652
  6. Step 6: Final answer
    x = 3,092.64

Related Problems

Find third proportional to 326 and 710
Half scale
Find third proportional to 1,304 and 2,840
Double scale
Find third proportional to 654 and 1,424
Similar ratio
Find third proportional to 978 and 2,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.