Home / 156,216-214,812

Finding the Third Proportional to 156,216 and 214,812

Calculator

Solution

The third proportional to 156,216 and 214,812 is: 295,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,216 : 214,812 = 214,812 : x
  2. Step 2: Convert to fraction form
    156,216/214,812 = 214,812/x
  3. Step 3: Cross multiply
    156,216x = 214,812 × 214,812
  4. Step 4: Simplify right side
    156,216x = 46,144,195,344
  5. Step 5: Solve for x
    x = 46,144,195,344/156,216
  6. Step 6: Final answer
    x = 295,387.13

Related Problems

Find third proportional to 78,108 and 107,406
Half scale
Find third proportional to 312,432 and 429,624
Double scale
Find third proportional to 156,218 and 214,815
Similar ratio
Find third proportional to 234,324 and 322,218
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.