Home / 13,400-20,824

Finding the Third Proportional to 13,400 and 20,824

Calculator

Solution

The third proportional to 13,400 and 20,824 is: 32,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 20,824 = 20,824 : x
  2. Step 2: Convert to fraction form
    13,400/20,824 = 20,824/x
  3. Step 3: Cross multiply
    13,400x = 20,824 × 20,824
  4. Step 4: Simplify right side
    13,400x = 433,638,976
  5. Step 5: Solve for x
    x = 433,638,976/13,400
  6. Step 6: Final answer
    x = 32,361.12

Related Problems

Find third proportional to 6,700 and 10,412
Half scale
Find third proportional to 26,800 and 41,648
Double scale
Find third proportional to 13,402 and 20,827
Similar ratio
Find third proportional to 20,100 and 31,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.