Home / 39-103

Finding the Third Proportional to 39 and 103

Calculator

Solution

The third proportional to 39 and 103 is: 272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39 : 103 = 103 : x
  2. Step 2: Convert to fraction form
    39/103 = 103/x
  3. Step 3: Cross multiply
    39x = 103 × 103
  4. Step 4: Simplify right side
    39x = 10,609
  5. Step 5: Solve for x
    x = 10,609/39
  6. Step 6: Final answer
    x = 272.03

Related Problems

Find third proportional to 19.50 and 51.50
Half scale
Find third proportional to 78 and 206
Double scale
Find third proportional to 41 and 108
Similar ratio
Find third proportional to 58.50 and 154.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.