Home / 50-77

Finding the Third Proportional to 50 and 77

Calculator

Solution

The third proportional to 50 and 77 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 77 = 77 : x
  2. Step 2: Convert to fraction form
    50/77 = 77/x
  3. Step 3: Cross multiply
    50x = 77 × 77
  4. Step 4: Simplify right side
    50x = 5,929
  5. Step 5: Solve for x
    x = 5,929/50
  6. Step 6: Final answer
    x = 118.58

Related Problems

Find third proportional to 25 and 38.50
Half scale
Find third proportional to 100 and 154
Double scale
Find third proportional to 52 and 80
Similar ratio
Find third proportional to 75 and 115.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.