Home / 5,224-11,456

Finding the Third Proportional to 5,224 and 11,456

Calculator

Solution

The third proportional to 5,224 and 11,456 is: 25,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 11,456 = 11,456 : x
  2. Step 2: Convert to fraction form
    5,224/11,456 = 11,456/x
  3. Step 3: Cross multiply
    5,224x = 11,456 × 11,456
  4. Step 4: Simplify right side
    5,224x = 131,239,936
  5. Step 5: Solve for x
    x = 131,239,936/5,224
  6. Step 6: Final answer
    x = 25,122.50

Related Problems

Find third proportional to 2,612 and 5,728
Half scale
Find third proportional to 10,448 and 22,912
Double scale
Find third proportional to 5,226 and 11,460
Similar ratio
Find third proportional to 7,836 and 17,184
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.