Home / 75.09-164.11

Finding the Third Proportional to 75.09 and 164.11

Calculator

Solution

The third proportional to 75.09 and 164.11 is: 358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 164.11 = 164.11 : x
  2. Step 2: Convert to fraction form
    75.09/164.11 = 164.11/x
  3. Step 3: Cross multiply
    75.09x = 164.11 × 164.11
  4. Step 4: Simplify right side
    75.09x = 26,931.89
  5. Step 5: Solve for x
    x = 26,931.89/75.09
  6. Step 6: Final answer
    x = 358.64

Related Problems

Find third proportional to 37.55 and 82.05
Half scale
Find third proportional to 150.19 and 328.22
Double scale
Find third proportional to 77 and 168
Similar ratio
Find third proportional to 112.64 and 246.16
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.