Home / 378,978-821,696

Finding the Third Proportional to 378,978 and 821,696

Calculator

Solution

The third proportional to 378,978 and 821,696 is: 1,781,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,978 : 821,696 = 821,696 : x
  2. Step 2: Convert to fraction form
    378,978/821,696 = 821,696/x
  3. Step 3: Cross multiply
    378,978x = 821,696 × 821,696
  4. Step 4: Simplify right side
    378,978x = 675,184,316,416
  5. Step 5: Solve for x
    x = 675,184,316,416/378,978
  6. Step 6: Final answer
    x = 1,781,592.38

Related Problems

Find third proportional to 189,489 and 410,848
Half scale
Find third proportional to 757,956 and 1,643,392
Double scale
Find third proportional to 378,980 and 821,700
Similar ratio
Find third proportional to 568,467 and 1,232,544
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.