Home / 31.48-65.85

Finding the Third Proportional to 31.48 and 65.85

Calculator

Solution

The third proportional to 31.48 and 65.85 is: 137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 65.85 = 65.85 : x
  2. Step 2: Convert to fraction form
    31.48/65.85 = 65.85/x
  3. Step 3: Cross multiply
    31.48x = 65.85 × 65.85
  4. Step 4: Simplify right side
    31.48x = 4,336.49
  5. Step 5: Solve for x
    x = 4,336.49/31.48
  6. Step 6: Final answer
    x = 137.74

Related Problems

Find third proportional to 15.74 and 32.93
Half scale
Find third proportional to 62.96 and 131.70
Double scale
Find third proportional to 33 and 70
Similar ratio
Find third proportional to 47.22 and 98.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.