Home / 5,100-7,680

Finding the Third Proportional to 5,100 and 7,680

Calculator

Solution

The third proportional to 5,100 and 7,680 is: 11,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,680 = 7,680 : x
  2. Step 2: Convert to fraction form
    5,100/7,680 = 7,680/x
  3. Step 3: Cross multiply
    5,100x = 7,680 × 7,680
  4. Step 4: Simplify right side
    5,100x = 58,982,400
  5. Step 5: Solve for x
    x = 58,982,400/5,100
  6. Step 6: Final answer
    x = 11,565.18

Related Problems

Find third proportional to 2,550 and 3,840
Half scale
Find third proportional to 10,200 and 15,360
Double scale
Find third proportional to 5,102 and 7,683
Similar ratio
Find third proportional to 7,650 and 11,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.