Home / 10,338-11,814

Finding the Third Proportional to 10,338 and 11,814

Calculator

Solution

The third proportional to 10,338 and 11,814 is: 13,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338 : 11,814 = 11,814 : x
  2. Step 2: Convert to fraction form
    10,338/11,814 = 11,814/x
  3. Step 3: Cross multiply
    10,338x = 11,814 × 11,814
  4. Step 4: Simplify right side
    10,338x = 139,570,596
  5. Step 5: Solve for x
    x = 139,570,596/10,338
  6. Step 6: Final answer
    x = 13,500.73

Related Problems

Find third proportional to 5,169 and 5,907
Half scale
Find third proportional to 20,676 and 23,628
Double scale
Find third proportional to 10,340 and 11,816
Similar ratio
Find third proportional to 15,507 and 17,721
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.