Home / 149,832-321,898

Finding the Third Proportional to 149,832 and 321,898

Calculator

Solution

The third proportional to 149,832 and 321,898 is: 691,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,832 : 321,898 = 321,898 : x
  2. Step 2: Convert to fraction form
    149,832/321,898 = 321,898/x
  3. Step 3: Cross multiply
    149,832x = 321,898 × 321,898
  4. Step 4: Simplify right side
    149,832x = 103,618,322,404
  5. Step 5: Solve for x
    x = 103,618,322,404/149,832
  6. Step 6: Final answer
    x = 691,563.37

Related Problems

Find third proportional to 74,916 and 160,949
Half scale
Find third proportional to 299,664 and 643,796
Double scale
Find third proportional to 149,834 and 321,902
Similar ratio
Find third proportional to 224,748 and 482,847
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.