Home / 9,760-11,328

Finding the Third Proportional to 9,760 and 11,328

Calculator

Solution

The third proportional to 9,760 and 11,328 is: 13,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760 : 11,328 = 11,328 : x
  2. Step 2: Convert to fraction form
    9,760/11,328 = 11,328/x
  3. Step 3: Cross multiply
    9,760x = 11,328 × 11,328
  4. Step 4: Simplify right side
    9,760x = 128,323,584
  5. Step 5: Solve for x
    x = 128,323,584/9,760
  6. Step 6: Final answer
    x = 13,147.91

Related Problems

Find third proportional to 4,880 and 5,664
Half scale
Find third proportional to 19,520 and 22,656
Double scale
Find third proportional to 9,762 and 11,330
Similar ratio
Find third proportional to 14,640 and 16,992
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.