Home / 5,120-6,820

Finding the Third Proportional to 5,120 and 6,820

Calculator

Solution

The third proportional to 5,120 and 6,820 is: 9,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120 : 6,820 = 6,820 : x
  2. Step 2: Convert to fraction form
    5,120/6,820 = 6,820/x
  3. Step 3: Cross multiply
    5,120x = 6,820 × 6,820
  4. Step 4: Simplify right side
    5,120x = 46,512,400
  5. Step 5: Solve for x
    x = 46,512,400/5,120
  6. Step 6: Final answer
    x = 9,084.45

Related Problems

Find third proportional to 2,560 and 3,410
Half scale
Find third proportional to 10,240 and 13,640
Double scale
Find third proportional to 5,122 and 6,823
Similar ratio
Find third proportional to 7,680 and 10,230
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.