Home / 27-66

Finding the Third Proportional to 27 and 66

Calculator

Solution

The third proportional to 27 and 66 is: 161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 66 = 66 : x
  2. Step 2: Convert to fraction form
    27/66 = 66/x
  3. Step 3: Cross multiply
    27x = 66 × 66
  4. Step 4: Simplify right side
    27x = 4,356
  5. Step 5: Solve for x
    x = 4,356/27
  6. Step 6: Final answer
    x = 161.33

Related Problems

Find third proportional to 13.50 and 33
Half scale
Find third proportional to 54 and 132
Double scale
Find third proportional to 29 and 71
Similar ratio
Find third proportional to 40.50 and 99
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.