Home / 13,812-17,478

Finding the Third Proportional to 13,812 and 17,478

Calculator

Solution

The third proportional to 13,812 and 17,478 is: 22,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 17,478 = 17,478 : x
  2. Step 2: Convert to fraction form
    13,812/17,478 = 17,478/x
  3. Step 3: Cross multiply
    13,812x = 17,478 × 17,478
  4. Step 4: Simplify right side
    13,812x = 305,480,484
  5. Step 5: Solve for x
    x = 305,480,484/13,812
  6. Step 6: Final answer
    x = 22,117.03

Related Problems

Find third proportional to 6,906 and 8,739
Half scale
Find third proportional to 27,624 and 34,956
Double scale
Find third proportional to 13,814 and 17,481
Similar ratio
Find third proportional to 20,718 and 26,217
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.