Home / 110-130

Finding the Third Proportional to 110 and 130

Calculator

Solution

The third proportional to 110 and 130 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 130 = 130 : x
  2. Step 2: Convert to fraction form
    110/130 = 130/x
  3. Step 3: Cross multiply
    110x = 130 × 130
  4. Step 4: Simplify right side
    110x = 16,900
  5. Step 5: Solve for x
    x = 16,900/110
  6. Step 6: Final answer
    x = 153.64

Related Problems

Find third proportional to 55 and 65
Half scale
Find third proportional to 220 and 260
Double scale
Find third proportional to 112 and 132
Similar ratio
Find third proportional to 165 and 195
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.