Home / 313,116-419,448

Finding the Third Proportional to 313,116 and 419,448

Calculator

Solution

The third proportional to 313,116 and 419,448 is: 561,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,116 : 419,448 = 419,448 : x
  2. Step 2: Convert to fraction form
    313,116/419,448 = 419,448/x
  3. Step 3: Cross multiply
    313,116x = 419,448 × 419,448
  4. Step 4: Simplify right side
    313,116x = 175,936,624,704
  5. Step 5: Solve for x
    x = 175,936,624,704/313,116
  6. Step 6: Final answer
    x = 561,889.60

Related Problems

Find third proportional to 156,558 and 209,724
Half scale
Find third proportional to 626,232 and 838,896
Double scale
Find third proportional to 313,118 and 419,451
Similar ratio
Find third proportional to 469,674 and 629,172
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.