Home / 11,830-15,864

Finding the Third Proportional to 11,830 and 15,864

Calculator

Solution

The third proportional to 11,830 and 15,864 is: 21,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830 : 15,864 = 15,864 : x
  2. Step 2: Convert to fraction form
    11,830/15,864 = 15,864/x
  3. Step 3: Cross multiply
    11,830x = 15,864 × 15,864
  4. Step 4: Simplify right side
    11,830x = 251,666,496
  5. Step 5: Solve for x
    x = 251,666,496/11,830
  6. Step 6: Final answer
    x = 21,273.58

Related Problems

Find third proportional to 5,915 and 7,932
Half scale
Find third proportional to 23,660 and 31,728
Double scale
Find third proportional to 11,832 and 15,867
Similar ratio
Find third proportional to 17,745 and 23,796
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.