Home / 31.50-75.75

Finding the Third Proportional to 31.50 and 75.75

Calculator

Solution

The third proportional to 31.50 and 75.75 is: 182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 75.75 = 75.75 : x
  2. Step 2: Convert to fraction form
    31.50/75.75 = 75.75/x
  3. Step 3: Cross multiply
    31.50x = 75.75 × 75.75
  4. Step 4: Simplify right side
    31.50x = 5,738.06
  5. Step 5: Solve for x
    x = 5,738.06/31.50
  6. Step 6: Final answer
    x = 182.16

Related Problems

Find third proportional to 15.75 and 37.88
Half scale
Find third proportional to 63 and 151.50
Double scale
Find third proportional to 34 and 81
Similar ratio
Find third proportional to 47.25 and 113.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.