Home / 64-65

Finding the Third Proportional to 64 and 65

Calculator

Solution

The third proportional to 64 and 65 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 65 = 65 : x
  2. Step 2: Convert to fraction form
    64/65 = 65/x
  3. Step 3: Cross multiply
    64x = 65 × 65
  4. Step 4: Simplify right side
    64x = 4,225
  5. Step 5: Solve for x
    x = 4,225/64
  6. Step 6: Final answer
    x = 66.02

Related Problems

Find third proportional to 32 and 32.50
Half scale
Find third proportional to 128 and 130
Double scale
Find third proportional to 66 and 67
Similar ratio
Find third proportional to 96 and 97.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.