Home / 10,720-12,544

Finding the Third Proportional to 10,720 and 12,544

Calculator

Solution

The third proportional to 10,720 and 12,544 is: 14,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 12,544 = 12,544 : x
  2. Step 2: Convert to fraction form
    10,720/12,544 = 12,544/x
  3. Step 3: Cross multiply
    10,720x = 12,544 × 12,544
  4. Step 4: Simplify right side
    10,720x = 157,351,936
  5. Step 5: Solve for x
    x = 157,351,936/10,720
  6. Step 6: Final answer
    x = 14,678.35

Related Problems

Find third proportional to 5,360 and 6,272
Half scale
Find third proportional to 21,440 and 25,088
Double scale
Find third proportional to 10,722 and 12,546
Similar ratio
Find third proportional to 16,080 and 18,816
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.