Home / 156,961-221,135

Finding the Third Proportional to 156,961 and 221,135

Calculator

Solution

The third proportional to 156,961 and 221,135 is: 311,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,961 : 221,135 = 221,135 : x
  2. Step 2: Convert to fraction form
    156,961/221,135 = 221,135/x
  3. Step 3: Cross multiply
    156,961x = 221,135 × 221,135
  4. Step 4: Simplify right side
    156,961x = 48,900,688,225
  5. Step 5: Solve for x
    x = 48,900,688,225/156,961
  6. Step 6: Final answer
    x = 311,546.74

Related Problems

Find third proportional to 78,480.50 and 110,567.50
Half scale
Find third proportional to 313,922 and 442,270
Double scale
Find third proportional to 156,963 and 221,138
Similar ratio
Find third proportional to 235,441.50 and 331,702.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.