Home / 13,204-19,806

Finding the Third Proportional to 13,204 and 19,806

Calculator

Solution

The third proportional to 13,204 and 19,806 is: 29,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 19,806 = 19,806 : x
  2. Step 2: Convert to fraction form
    13,204/19,806 = 19,806/x
  3. Step 3: Cross multiply
    13,204x = 19,806 × 19,806
  4. Step 4: Simplify right side
    13,204x = 392,277,636
  5. Step 5: Solve for x
    x = 392,277,636/13,204
  6. Step 6: Final answer
    x = 29,709

Related Problems

Find third proportional to 6,602 and 9,903
Half scale
Find third proportional to 26,408 and 39,612
Double scale
Find third proportional to 13,206 and 19,809
Similar ratio
Find third proportional to 19,806 and 29,709
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.