Home / 13,828-19,478

Finding the Third Proportional to 13,828 and 19,478

Calculator

Solution

The third proportional to 13,828 and 19,478 is: 27,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 19,478 = 19,478 : x
  2. Step 2: Convert to fraction form
    13,828/19,478 = 19,478/x
  3. Step 3: Cross multiply
    13,828x = 19,478 × 19,478
  4. Step 4: Simplify right side
    13,828x = 379,392,484
  5. Step 5: Solve for x
    x = 379,392,484/13,828
  6. Step 6: Final answer
    x = 27,436.54

Related Problems

Find third proportional to 6,914 and 9,739
Half scale
Find third proportional to 27,656 and 38,956
Double scale
Find third proportional to 13,830 and 19,481
Similar ratio
Find third proportional to 20,742 and 29,217
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.