Home / 263,240-407,164

Finding the Third Proportional to 263,240 and 407,164

Calculator

Solution

The third proportional to 263,240 and 407,164 is: 629,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,240 : 407,164 = 407,164 : x
  2. Step 2: Convert to fraction form
    263,240/407,164 = 407,164/x
  3. Step 3: Cross multiply
    263,240x = 407,164 × 407,164
  4. Step 4: Simplify right side
    263,240x = 165,782,522,896
  5. Step 5: Solve for x
    x = 165,782,522,896/263,240
  6. Step 6: Final answer
    x = 629,777.10

Related Problems

Find third proportional to 131,620 and 203,582
Half scale
Find third proportional to 526,480 and 814,328
Double scale
Find third proportional to 263,242 and 407,167
Similar ratio
Find third proportional to 394,860 and 610,746
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.