Home / 8,320-11,296

Finding the Third Proportional to 8,320 and 11,296

Calculator

Solution

The third proportional to 8,320 and 11,296 is: 15,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 11,296 = 11,296 : x
  2. Step 2: Convert to fraction form
    8,320/11,296 = 11,296/x
  3. Step 3: Cross multiply
    8,320x = 11,296 × 11,296
  4. Step 4: Simplify right side
    8,320x = 127,599,616
  5. Step 5: Solve for x
    x = 127,599,616/8,320
  6. Step 6: Final answer
    x = 15,336.49

Related Problems

Find third proportional to 4,160 and 5,648
Half scale
Find third proportional to 16,640 and 22,592
Double scale
Find third proportional to 8,322 and 11,299
Similar ratio
Find third proportional to 12,480 and 16,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.