Home / 5,414-8,180

Finding the Third Proportional to 5,414 and 8,180

Calculator

Solution

The third proportional to 5,414 and 8,180 is: 12,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 8,180 = 8,180 : x
  2. Step 2: Convert to fraction form
    5,414/8,180 = 8,180/x
  3. Step 3: Cross multiply
    5,414x = 8,180 × 8,180
  4. Step 4: Simplify right side
    5,414x = 66,912,400
  5. Step 5: Solve for x
    x = 66,912,400/5,414
  6. Step 6: Final answer
    x = 12,359.14

Related Problems

Find third proportional to 2,707 and 4,090
Half scale
Find third proportional to 10,828 and 16,360
Double scale
Find third proportional to 5,416 and 8,183
Similar ratio
Find third proportional to 8,121 and 12,270
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.