Home / 3,084-4,180.50

Finding the Third Proportional to 3,084 and 4,180.50

Calculator

Solution

The third proportional to 3,084 and 4,180.50 is: 5,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,180.50 = 4,180.50 : x
  2. Step 2: Convert to fraction form
    3,084/4,180.50 = 4,180.50/x
  3. Step 3: Cross multiply
    3,084x = 4,180.50 × 4,180.50
  4. Step 4: Simplify right side
    3,084x = 17,476,580.25
  5. Step 5: Solve for x
    x = 17,476,580.25/3,084
  6. Step 6: Final answer
    x = 5,666.85

Related Problems

Find third proportional to 1,542 and 2,090.25
Half scale
Find third proportional to 6,168 and 8,361
Double scale
Find third proportional to 3,086 and 4,183
Similar ratio
Find third proportional to 4,626 and 6,270.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.