Home / 96,827-208,948

Finding the Third Proportional to 96,827 and 208,948

Calculator

Solution

The third proportional to 96,827 and 208,948 is: 450,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,827 : 208,948 = 208,948 : x
  2. Step 2: Convert to fraction form
    96,827/208,948 = 208,948/x
  3. Step 3: Cross multiply
    96,827x = 208,948 × 208,948
  4. Step 4: Simplify right side
    96,827x = 43,659,266,704
  5. Step 5: Solve for x
    x = 43,659,266,704/96,827
  6. Step 6: Final answer
    x = 450,899.71

Related Problems

Find third proportional to 48,413.50 and 104,474
Half scale
Find third proportional to 193,654 and 417,896
Double scale
Find third proportional to 96,829 and 208,952
Similar ratio
Find third proportional to 145,240.50 and 313,422
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.