Home / 20,814-23,838

Finding the Third Proportional to 20,814 and 23,838

Calculator

Solution

The third proportional to 20,814 and 23,838 is: 27,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814 : 23,838 = 23,838 : x
  2. Step 2: Convert to fraction form
    20,814/23,838 = 23,838/x
  3. Step 3: Cross multiply
    20,814x = 23,838 × 23,838
  4. Step 4: Simplify right side
    20,814x = 568,250,244
  5. Step 5: Solve for x
    x = 568,250,244/20,814
  6. Step 6: Final answer
    x = 27,301.35

Related Problems

Find third proportional to 10,407 and 11,919
Half scale
Find third proportional to 41,628 and 47,676
Double scale
Find third proportional to 20,816 and 23,840
Similar ratio
Find third proportional to 31,221 and 35,757
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.