Home / 11,500-15,324

Finding the Third Proportional to 11,500 and 15,324

Calculator

Solution

The third proportional to 11,500 and 15,324 is: 20,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500 : 15,324 = 15,324 : x
  2. Step 2: Convert to fraction form
    11,500/15,324 = 15,324/x
  3. Step 3: Cross multiply
    11,500x = 15,324 × 15,324
  4. Step 4: Simplify right side
    11,500x = 234,824,976
  5. Step 5: Solve for x
    x = 234,824,976/11,500
  6. Step 6: Final answer
    x = 20,419.56

Related Problems

Find third proportional to 5,750 and 7,662
Half scale
Find third proportional to 23,000 and 30,648
Double scale
Find third proportional to 11,502 and 15,327
Similar ratio
Find third proportional to 17,250 and 22,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.