Home / 11,000-23,408

Finding the Third Proportional to 11,000 and 23,408

Calculator

Solution

The third proportional to 11,000 and 23,408 is: 49,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000 : 23,408 = 23,408 : x
  2. Step 2: Convert to fraction form
    11,000/23,408 = 23,408/x
  3. Step 3: Cross multiply
    11,000x = 23,408 × 23,408
  4. Step 4: Simplify right side
    11,000x = 547,934,464
  5. Step 5: Solve for x
    x = 547,934,464/11,000
  6. Step 6: Final answer
    x = 49,812.22

Related Problems

Find third proportional to 5,500 and 11,704
Half scale
Find third proportional to 22,000 and 46,816
Double scale
Find third proportional to 11,002 and 23,412
Similar ratio
Find third proportional to 16,500 and 35,112
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.