Home / 31-38

Finding the Third Proportional to 31 and 38

Calculator

Solution

The third proportional to 31 and 38 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 38 = 38 : x
  2. Step 2: Convert to fraction form
    31/38 = 38/x
  3. Step 3: Cross multiply
    31x = 38 × 38
  4. Step 4: Simplify right side
    31x = 1,444
  5. Step 5: Solve for x
    x = 1,444/31
  6. Step 6: Final answer
    x = 46.58

Related Problems

Find third proportional to 15.50 and 19
Half scale
Find third proportional to 62 and 76
Double scale
Find third proportional to 33 and 40
Similar ratio
Find third proportional to 46.50 and 57
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.