Home / 221,690-459,145

Finding the Third Proportional to 221,690 and 459,145

Calculator

Solution

The third proportional to 221,690 and 459,145 is: 950,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,690 : 459,145 = 459,145 : x
  2. Step 2: Convert to fraction form
    221,690/459,145 = 459,145/x
  3. Step 3: Cross multiply
    221,690x = 459,145 × 459,145
  4. Step 4: Simplify right side
    221,690x = 210,814,131,025
  5. Step 5: Solve for x
    x = 210,814,131,025/221,690
  6. Step 6: Final answer
    x = 950,941.09

Related Problems

Find third proportional to 110,845 and 229,572.50
Half scale
Find third proportional to 443,380 and 918,290
Double scale
Find third proportional to 221,692 and 459,149
Similar ratio
Find third proportional to 332,535 and 688,717.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.