Home / 33,828-75,420

Finding the Third Proportional to 33,828 and 75,420

Calculator

Solution

The third proportional to 33,828 and 75,420 is: 168,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828 : 75,420 = 75,420 : x
  2. Step 2: Convert to fraction form
    33,828/75,420 = 75,420/x
  3. Step 3: Cross multiply
    33,828x = 75,420 × 75,420
  4. Step 4: Simplify right side
    33,828x = 5,688,176,400
  5. Step 5: Solve for x
    x = 5,688,176,400/33,828
  6. Step 6: Final answer
    x = 168,149.95

Related Problems

Find third proportional to 16,914 and 37,710
Half scale
Find third proportional to 67,656 and 150,840
Double scale
Find third proportional to 33,830 and 75,424
Similar ratio
Find third proportional to 50,742 and 113,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.