Home / 3,180-4,200

Finding the Third Proportional to 3,180 and 4,200

Calculator

Solution

The third proportional to 3,180 and 4,200 is: 5,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180 : 4,200 = 4,200 : x
  2. Step 2: Convert to fraction form
    3,180/4,200 = 4,200/x
  3. Step 3: Cross multiply
    3,180x = 4,200 × 4,200
  4. Step 4: Simplify right side
    3,180x = 17,640,000
  5. Step 5: Solve for x
    x = 17,640,000/3,180
  6. Step 6: Final answer
    x = 5,547.17

Related Problems

Find third proportional to 1,590 and 2,100
Half scale
Find third proportional to 6,360 and 8,400
Double scale
Find third proportional to 3,182 and 4,203
Similar ratio
Find third proportional to 4,770 and 6,300
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.