Home / 21,876-51,414

Finding the Third Proportional to 21,876 and 51,414

Calculator

Solution

The third proportional to 21,876 and 51,414 is: 120,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876 : 51,414 = 51,414 : x
  2. Step 2: Convert to fraction form
    21,876/51,414 = 51,414/x
  3. Step 3: Cross multiply
    21,876x = 51,414 × 51,414
  4. Step 4: Simplify right side
    21,876x = 2,643,399,396
  5. Step 5: Solve for x
    x = 2,643,399,396/21,876
  6. Step 6: Final answer
    x = 120,835.59

Related Problems

Find third proportional to 10,938 and 25,707
Half scale
Find third proportional to 43,752 and 102,828
Double scale
Find third proportional to 21,878 and 51,419
Similar ratio
Find third proportional to 32,814 and 77,121
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.