Home / 10.20-13.85

Finding the Third Proportional to 10.20 and 13.85

Calculator

Solution

The third proportional to 10.20 and 13.85 is: 18.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.20 : 13.85 = 13.85 : x
  2. Step 2: Convert to fraction form
    10.20/13.85 = 13.85/x
  3. Step 3: Cross multiply
    10.20x = 13.85 × 13.85
  4. Step 4: Simplify right side
    10.20x = 191.87
  5. Step 5: Solve for x
    x = 191.87/10.20
  6. Step 6: Final answer
    x = 18.81

Related Problems

Find third proportional to 5.10 and 6.93
Half scale
Find third proportional to 20.40 and 27.70
Double scale
Find third proportional to 12 and 17
Similar ratio
Find third proportional to 15.30 and 20.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.