Home / 221,664-459,096

Finding the Third Proportional to 221,664 and 459,096

Calculator

Solution

The third proportional to 221,664 and 459,096 is: 950,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,664 : 459,096 = 459,096 : x
  2. Step 2: Convert to fraction form
    221,664/459,096 = 459,096/x
  3. Step 3: Cross multiply
    221,664x = 459,096 × 459,096
  4. Step 4: Simplify right side
    221,664x = 210,769,137,216
  5. Step 5: Solve for x
    x = 210,769,137,216/221,664
  6. Step 6: Final answer
    x = 950,849.65

Related Problems

Find third proportional to 110,832 and 229,548
Half scale
Find third proportional to 443,328 and 918,192
Double scale
Find third proportional to 221,666 and 459,100
Similar ratio
Find third proportional to 332,496 and 688,644
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.