Home / 135.42-160.21

Finding the Third Proportional to 135.42 and 160.21

Calculator

Solution

The third proportional to 135.42 and 160.21 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 160.21 = 160.21 : x
  2. Step 2: Convert to fraction form
    135.42/160.21 = 160.21/x
  3. Step 3: Cross multiply
    135.42x = 160.21 × 160.21
  4. Step 4: Simplify right side
    135.42x = 25,666.29
  5. Step 5: Solve for x
    x = 25,666.29/135.42
  6. Step 6: Final answer
    x = 189.53

Related Problems

Find third proportional to 67.71 and 80.10
Half scale
Find third proportional to 270.84 and 320.41
Double scale
Find third proportional to 137 and 163
Similar ratio
Find third proportional to 203.13 and 240.31
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.