Home / 40-89

Finding the Third Proportional to 40 and 89

Calculator

Solution

The third proportional to 40 and 89 is: 198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 89 = 89 : x
  2. Step 2: Convert to fraction form
    40/89 = 89/x
  3. Step 3: Cross multiply
    40x = 89 × 89
  4. Step 4: Simplify right side
    40x = 7,921
  5. Step 5: Solve for x
    x = 7,921/40
  6. Step 6: Final answer
    x = 198.03

Related Problems

Find third proportional to 20 and 44.50
Half scale
Find third proportional to 80 and 178
Double scale
Find third proportional to 42 and 93
Similar ratio
Find third proportional to 60 and 133.50
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.