Home / 64-105

Finding the Third Proportional to 64 and 105

Calculator

Solution

The third proportional to 64 and 105 is: 172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 105 = 105 : x
  2. Step 2: Convert to fraction form
    64/105 = 105/x
  3. Step 3: Cross multiply
    64x = 105 × 105
  4. Step 4: Simplify right side
    64x = 11,025
  5. Step 5: Solve for x
    x = 11,025/64
  6. Step 6: Final answer
    x = 172.27

Related Problems

Find third proportional to 32 and 52.50
Half scale
Find third proportional to 128 and 210
Double scale
Find third proportional to 66 and 108
Similar ratio
Find third proportional to 96 and 157.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.