Home / 11,520-12,544

Finding the Third Proportional to 11,520 and 12,544

Calculator

Solution

The third proportional to 11,520 and 12,544 is: 13,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 12,544 = 12,544 : x
  2. Step 2: Convert to fraction form
    11,520/12,544 = 12,544/x
  3. Step 3: Cross multiply
    11,520x = 12,544 × 12,544
  4. Step 4: Simplify right side
    11,520x = 157,351,936
  5. Step 5: Solve for x
    x = 157,351,936/11,520
  6. Step 6: Final answer
    x = 13,659.02

Related Problems

Find third proportional to 5,760 and 6,272
Half scale
Find third proportional to 23,040 and 25,088
Double scale
Find third proportional to 11,522 and 12,546
Similar ratio
Find third proportional to 17,280 and 18,816
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.