Home / 105-126

Finding the Third Proportional to 105 and 126

Calculator

Solution

The third proportional to 105 and 126 is: 151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 126 = 126 : x
  2. Step 2: Convert to fraction form
    105/126 = 126/x
  3. Step 3: Cross multiply
    105x = 126 × 126
  4. Step 4: Simplify right side
    105x = 15,876
  5. Step 5: Solve for x
    x = 15,876/105
  6. Step 6: Final answer
    x = 151.20

Related Problems

Find third proportional to 52.50 and 63
Half scale
Find third proportional to 210 and 252
Double scale
Find third proportional to 107 and 128
Similar ratio
Find third proportional to 157.50 and 189
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.