Home / 31.37-80.42

Finding the Third Proportional to 31.37 and 80.42

Calculator

Solution

The third proportional to 31.37 and 80.42 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.37 : 80.42 = 80.42 : x
  2. Step 2: Convert to fraction form
    31.37/80.42 = 80.42/x
  3. Step 3: Cross multiply
    31.37x = 80.42 × 80.42
  4. Step 4: Simplify right side
    31.37x = 6,468.17
  5. Step 5: Solve for x
    x = 6,468.17/31.37
  6. Step 6: Final answer
    x = 206.21

Related Problems

Find third proportional to 15.68 and 40.21
Half scale
Find third proportional to 62.73 and 160.85
Double scale
Find third proportional to 33 and 86
Similar ratio
Find third proportional to 47.05 and 120.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.