Home / 65.34-91.41

Finding the Third Proportional to 65.34 and 91.41

Calculator

Solution

The third proportional to 65.34 and 91.41 is: 127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 91.41 = 91.41 : x
  2. Step 2: Convert to fraction form
    65.34/91.41 = 91.41/x
  3. Step 3: Cross multiply
    65.34x = 91.41 × 91.41
  4. Step 4: Simplify right side
    65.34x = 8,355.10
  5. Step 5: Solve for x
    x = 8,355.10/65.34
  6. Step 6: Final answer
    x = 127.86

Related Problems

Find third proportional to 32.67 and 45.70
Half scale
Find third proportional to 130.69 and 182.81
Double scale
Find third proportional to 67 and 94
Similar ratio
Find third proportional to 98.02 and 137.11
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.