Home / 13,692-20,412

Finding the Third Proportional to 13,692 and 20,412

Calculator

Solution

The third proportional to 13,692 and 20,412 is: 30,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692 : 20,412 = 20,412 : x
  2. Step 2: Convert to fraction form
    13,692/20,412 = 20,412/x
  3. Step 3: Cross multiply
    13,692x = 20,412 × 20,412
  4. Step 4: Simplify right side
    13,692x = 416,649,744
  5. Step 5: Solve for x
    x = 416,649,744/13,692
  6. Step 6: Final answer
    x = 30,430.16

Related Problems

Find third proportional to 6,846 and 10,206
Half scale
Find third proportional to 27,384 and 40,824
Double scale
Find third proportional to 13,694 and 20,415
Similar ratio
Find third proportional to 20,538 and 30,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.