Home / 7,584-11,760

Finding the Third Proportional to 7,584 and 11,760

Calculator

Solution

The third proportional to 7,584 and 11,760 is: 18,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 11,760 = 11,760 : x
  2. Step 2: Convert to fraction form
    7,584/11,760 = 11,760/x
  3. Step 3: Cross multiply
    7,584x = 11,760 × 11,760
  4. Step 4: Simplify right side
    7,584x = 138,297,600
  5. Step 5: Solve for x
    x = 138,297,600/7,584
  6. Step 6: Final answer
    x = 18,235.44

Related Problems

Find third proportional to 3,792 and 5,880
Half scale
Find third proportional to 15,168 and 23,520
Double scale
Find third proportional to 7,586 and 11,763
Similar ratio
Find third proportional to 11,376 and 17,640
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.