Home / 76-149

Finding the Third Proportional to 76 and 149

Calculator

Solution

The third proportional to 76 and 149 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 149 = 149 : x
  2. Step 2: Convert to fraction form
    76/149 = 149/x
  3. Step 3: Cross multiply
    76x = 149 × 149
  4. Step 4: Simplify right side
    76x = 22,201
  5. Step 5: Solve for x
    x = 22,201/76
  6. Step 6: Final answer
    x = 292.12

Related Problems

Find third proportional to 38 and 74.50
Half scale
Find third proportional to 152 and 298
Double scale
Find third proportional to 78 and 153
Similar ratio
Find third proportional to 114 and 223.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.