Home / 26-66

Finding the Third Proportional to 26 and 66

Calculator

Solution

The third proportional to 26 and 66 is: 167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 66 = 66 : x
  2. Step 2: Convert to fraction form
    26/66 = 66/x
  3. Step 3: Cross multiply
    26x = 66 × 66
  4. Step 4: Simplify right side
    26x = 4,356
  5. Step 5: Solve for x
    x = 4,356/26
  6. Step 6: Final answer
    x = 167.54

Related Problems

Find third proportional to 13 and 33
Half scale
Find third proportional to 52 and 132
Double scale
Find third proportional to 28 and 71
Similar ratio
Find third proportional to 39 and 99
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.