Home / 219,112-313,116

Finding the Third Proportional to 219,112 and 313,116

Calculator

Solution

The third proportional to 219,112 and 313,116 is: 447,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,112 : 313,116 = 313,116 : x
  2. Step 2: Convert to fraction form
    219,112/313,116 = 313,116/x
  3. Step 3: Cross multiply
    219,112x = 313,116 × 313,116
  4. Step 4: Simplify right side
    219,112x = 98,041,629,456
  5. Step 5: Solve for x
    x = 98,041,629,456/219,112
  6. Step 6: Final answer
    x = 447,449.84

Related Problems

Find third proportional to 109,556 and 156,558
Half scale
Find third proportional to 438,224 and 626,232
Double scale
Find third proportional to 219,114 and 313,119
Similar ratio
Find third proportional to 328,668 and 469,674
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.