Home / 13,822-29,977

Finding the Third Proportional to 13,822 and 29,977

Calculator

Solution

The third proportional to 13,822 and 29,977 is: 65,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822 : 29,977 = 29,977 : x
  2. Step 2: Convert to fraction form
    13,822/29,977 = 29,977/x
  3. Step 3: Cross multiply
    13,822x = 29,977 × 29,977
  4. Step 4: Simplify right side
    13,822x = 898,620,529
  5. Step 5: Solve for x
    x = 898,620,529/13,822
  6. Step 6: Final answer
    x = 65,013.78

Related Problems

Find third proportional to 6,911 and 14,988.50
Half scale
Find third proportional to 27,644 and 59,954
Double scale
Find third proportional to 13,824 and 29,981
Similar ratio
Find third proportional to 20,733 and 44,965.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.