Home / 27-52

Finding the Third Proportional to 27 and 52

Calculator

Solution

The third proportional to 27 and 52 is: 100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 52 = 52 : x
  2. Step 2: Convert to fraction form
    27/52 = 52/x
  3. Step 3: Cross multiply
    27x = 52 × 52
  4. Step 4: Simplify right side
    27x = 2,704
  5. Step 5: Solve for x
    x = 2,704/27
  6. Step 6: Final answer
    x = 100.15

Related Problems

Find third proportional to 13.50 and 26
Half scale
Find third proportional to 54 and 104
Double scale
Find third proportional to 29 and 56
Similar ratio
Find third proportional to 40.50 and 78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.