Home / 162-186

Finding the Third Proportional to 162 and 186

Calculator

Solution

The third proportional to 162 and 186 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 186 = 186 : x
  2. Step 2: Convert to fraction form
    162/186 = 186/x
  3. Step 3: Cross multiply
    162x = 186 × 186
  4. Step 4: Simplify right side
    162x = 34,596
  5. Step 5: Solve for x
    x = 34,596/162
  6. Step 6: Final answer
    x = 213.56

Related Problems

Find third proportional to 81 and 93
Half scale
Find third proportional to 324 and 372
Double scale
Find third proportional to 164 and 188
Similar ratio
Find third proportional to 243 and 279
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.