Home / 65-105

Finding the Third Proportional to 65 and 105

Calculator

Solution

The third proportional to 65 and 105 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 105 = 105 : x
  2. Step 2: Convert to fraction form
    65/105 = 105/x
  3. Step 3: Cross multiply
    65x = 105 × 105
  4. Step 4: Simplify right side
    65x = 11,025
  5. Step 5: Solve for x
    x = 11,025/65
  6. Step 6: Final answer
    x = 169.62

Related Problems

Find third proportional to 32.50 and 52.50
Half scale
Find third proportional to 130 and 210
Double scale
Find third proportional to 67 and 108
Similar ratio
Find third proportional to 97.50 and 157.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.