Home / 29-65

Finding the Third Proportional to 29 and 65

Calculator

Solution

The third proportional to 29 and 65 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 65 = 65 : x
  2. Step 2: Convert to fraction form
    29/65 = 65/x
  3. Step 3: Cross multiply
    29x = 65 × 65
  4. Step 4: Simplify right side
    29x = 4,225
  5. Step 5: Solve for x
    x = 4,225/29
  6. Step 6: Final answer
    x = 145.69

Related Problems

Find third proportional to 14.50 and 32.50
Half scale
Find third proportional to 58 and 130
Double scale
Find third proportional to 31 and 69
Similar ratio
Find third proportional to 43.50 and 97.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.