Home / 120.50-138.13

Finding the Third Proportional to 120.50 and 138.13

Calculator

Solution

The third proportional to 120.50 and 138.13 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 138.13 = 138.13 : x
  2. Step 2: Convert to fraction form
    120.50/138.13 = 138.13/x
  3. Step 3: Cross multiply
    120.50x = 138.13 × 138.13
  4. Step 4: Simplify right side
    120.50x = 19,078.52
  5. Step 5: Solve for x
    x = 19,078.52/120.50
  6. Step 6: Final answer
    x = 158.33

Related Problems

Find third proportional to 60.25 and 69.06
Half scale
Find third proportional to 241 and 276.25
Double scale
Find third proportional to 123 and 140
Similar ratio
Find third proportional to 180.75 and 207.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.