Home / 218,406-329,146

Finding the Third Proportional to 218,406 and 329,146

Calculator

Solution

The third proportional to 218,406 and 329,146 is: 496,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,406 : 329,146 = 329,146 : x
  2. Step 2: Convert to fraction form
    218,406/329,146 = 329,146/x
  3. Step 3: Cross multiply
    218,406x = 329,146 × 329,146
  4. Step 4: Simplify right side
    218,406x = 108,337,089,316
  5. Step 5: Solve for x
    x = 108,337,089,316/218,406
  6. Step 6: Final answer
    x = 496,035.32

Related Problems

Find third proportional to 109,203 and 164,573
Half scale
Find third proportional to 436,812 and 658,292
Double scale
Find third proportional to 218,408 and 329,149
Similar ratio
Find third proportional to 327,609 and 493,719
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.