Home / 32,331-67,821

Finding the Third Proportional to 32,331 and 67,821

Calculator

Solution

The third proportional to 32,331 and 67,821 is: 142,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 67,821 = 67,821 : x
  2. Step 2: Convert to fraction form
    32,331/67,821 = 67,821/x
  3. Step 3: Cross multiply
    32,331x = 67,821 × 67,821
  4. Step 4: Simplify right side
    32,331x = 4,599,688,041
  5. Step 5: Solve for x
    x = 4,599,688,041/32,331
  6. Step 6: Final answer
    x = 142,268.66

Related Problems

Find third proportional to 16,165.50 and 33,910.50
Half scale
Find third proportional to 64,662 and 135,642
Double scale
Find third proportional to 32,333 and 67,825
Similar ratio
Find third proportional to 48,496.50 and 101,731.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.