Home / 313,049-419,380

Finding the Third Proportional to 313,049 and 419,380

Calculator

Solution

The third proportional to 313,049 and 419,380 is: 561,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,049 : 419,380 = 419,380 : x
  2. Step 2: Convert to fraction form
    313,049/419,380 = 419,380/x
  3. Step 3: Cross multiply
    313,049x = 419,380 × 419,380
  4. Step 4: Simplify right side
    313,049x = 175,879,584,400
  5. Step 5: Solve for x
    x = 175,879,584,400/313,049
  6. Step 6: Final answer
    x = 561,827.65

Related Problems

Find third proportional to 156,524.50 and 209,690
Half scale
Find third proportional to 626,098 and 838,760
Double scale
Find third proportional to 313,051 and 419,383
Similar ratio
Find third proportional to 469,573.50 and 629,070
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.