Home / 270,924-421,898

Finding the Third Proportional to 270,924 and 421,898

Calculator

Solution

The third proportional to 270,924 and 421,898 is: 657,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924 : 421,898 = 421,898 : x
  2. Step 2: Convert to fraction form
    270,924/421,898 = 421,898/x
  3. Step 3: Cross multiply
    270,924x = 421,898 × 421,898
  4. Step 4: Simplify right side
    270,924x = 177,997,922,404
  5. Step 5: Solve for x
    x = 177,997,922,404/270,924
  6. Step 6: Final answer
    x = 657,003.15

Related Problems

Find third proportional to 135,462 and 210,949
Half scale
Find third proportional to 541,848 and 843,796
Double scale
Find third proportional to 270,926 and 421,901
Similar ratio
Find third proportional to 406,386 and 632,847
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.