Home / 106,193-231,705

Finding the Third Proportional to 106,193 and 231,705

Calculator

Solution

The third proportional to 106,193 and 231,705 is: 505,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193 : 231,705 = 231,705 : x
  2. Step 2: Convert to fraction form
    106,193/231,705 = 231,705/x
  3. Step 3: Cross multiply
    106,193x = 231,705 × 231,705
  4. Step 4: Simplify right side
    106,193x = 53,687,207,025
  5. Step 5: Solve for x
    x = 53,687,207,025/106,193
  6. Step 6: Final answer
    x = 505,562.58

Related Problems

Find third proportional to 53,096.50 and 115,852.50
Half scale
Find third proportional to 212,386 and 463,410
Double scale
Find third proportional to 106,195 and 231,709
Similar ratio
Find third proportional to 159,289.50 and 347,557.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.