Home / 37-51

Finding the Third Proportional to 37 and 51

Calculator

Solution

The third proportional to 37 and 51 is: 70.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 51 = 51 : x
  2. Step 2: Convert to fraction form
    37/51 = 51/x
  3. Step 3: Cross multiply
    37x = 51 × 51
  4. Step 4: Simplify right side
    37x = 2,601
  5. Step 5: Solve for x
    x = 2,601/37
  6. Step 6: Final answer
    x = 70.30

Related Problems

Find third proportional to 18.50 and 25.50
Half scale
Find third proportional to 74 and 102
Double scale
Find third proportional to 39 and 54
Similar ratio
Find third proportional to 55.50 and 76.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.