Home / 40-56

Finding the Third Proportional to 40 and 56

Calculator

Solution

The third proportional to 40 and 56 is: 78.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 56 = 56 : x
  2. Step 2: Convert to fraction form
    40/56 = 56/x
  3. Step 3: Cross multiply
    40x = 56 × 56
  4. Step 4: Simplify right side
    40x = 3,136
  5. Step 5: Solve for x
    x = 3,136/40
  6. Step 6: Final answer
    x = 78.40

Related Problems

Find third proportional to 20 and 28
Half scale
Find third proportional to 80 and 112
Double scale
Find third proportional to 42 and 59
Similar ratio
Find third proportional to 60 and 84
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.