Home / 205,752-311,208

Finding the Third Proportional to 205,752 and 311,208

Calculator

Solution

The third proportional to 205,752 and 311,208 is: 470,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752 : 311,208 = 311,208 : x
  2. Step 2: Convert to fraction form
    205,752/311,208 = 311,208/x
  3. Step 3: Cross multiply
    205,752x = 311,208 × 311,208
  4. Step 4: Simplify right side
    205,752x = 96,850,419,264
  5. Step 5: Solve for x
    x = 96,850,419,264/205,752
  6. Step 6: Final answer
    x = 470,714.35

Related Problems

Find third proportional to 102,876 and 155,604
Half scale
Find third proportional to 411,504 and 622,416
Double scale
Find third proportional to 205,754 and 311,211
Similar ratio
Find third proportional to 308,628 and 466,812
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.