Home / 56-80

Finding the Third Proportional to 56 and 80

Calculator

Solution

The third proportional to 56 and 80 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 80 = 80 : x
  2. Step 2: Convert to fraction form
    56/80 = 80/x
  3. Step 3: Cross multiply
    56x = 80 × 80
  4. Step 4: Simplify right side
    56x = 6,400
  5. Step 5: Solve for x
    x = 6,400/56
  6. Step 6: Final answer
    x = 114.29

Related Problems

Find third proportional to 28 and 40
Half scale
Find third proportional to 112 and 160
Double scale
Find third proportional to 58 and 83
Similar ratio
Find third proportional to 84 and 120
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.