Home / 301,269-649,194

Finding the Third Proportional to 301,269 and 649,194

Calculator

Solution

The third proportional to 301,269 and 649,194 is: 1,398,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,269 : 649,194 = 649,194 : x
  2. Step 2: Convert to fraction form
    301,269/649,194 = 649,194/x
  3. Step 3: Cross multiply
    301,269x = 649,194 × 649,194
  4. Step 4: Simplify right side
    301,269x = 421,452,849,636
  5. Step 5: Solve for x
    x = 421,452,849,636/301,269
  6. Step 6: Final answer
    x = 1,398,925.38

Related Problems

Find third proportional to 150,634.50 and 324,597
Half scale
Find third proportional to 602,538 and 1,298,388
Double scale
Find third proportional to 301,271 and 649,198
Similar ratio
Find third proportional to 451,903.50 and 973,791
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.