Home / 189,491-407,656

Finding the Third Proportional to 189,491 and 407,656

Calculator

Solution

The third proportional to 189,491 and 407,656 is: 876,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,491 : 407,656 = 407,656 : x
  2. Step 2: Convert to fraction form
    189,491/407,656 = 407,656/x
  3. Step 3: Cross multiply
    189,491x = 407,656 × 407,656
  4. Step 4: Simplify right side
    189,491x = 166,183,414,336
  5. Step 5: Solve for x
    x = 166,183,414,336/189,491
  6. Step 6: Final answer
    x = 876,998.98

Related Problems

Find third proportional to 94,745.50 and 203,828
Half scale
Find third proportional to 378,982 and 815,312
Double scale
Find third proportional to 189,493 and 407,660
Similar ratio
Find third proportional to 284,236.50 and 611,484
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.