Home / 135.42-149.27

Finding the Third Proportional to 135.42 and 149.27

Calculator

Solution

The third proportional to 135.42 and 149.27 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 149.27 = 149.27 : x
  2. Step 2: Convert to fraction form
    135.42/149.27 = 149.27/x
  3. Step 3: Cross multiply
    135.42x = 149.27 × 149.27
  4. Step 4: Simplify right side
    135.42x = 22,282.56
  5. Step 5: Solve for x
    x = 22,282.56/135.42
  6. Step 6: Final answer
    x = 164.54

Related Problems

Find third proportional to 67.71 and 74.64
Half scale
Find third proportional to 270.84 and 298.55
Double scale
Find third proportional to 137 and 151
Similar ratio
Find third proportional to 203.13 and 223.91
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.