Home / 321,948-699,448

Finding the Third Proportional to 321,948 and 699,448

Calculator

Solution

The third proportional to 321,948 and 699,448 is: 1,519,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,948 : 699,448 = 699,448 : x
  2. Step 2: Convert to fraction form
    321,948/699,448 = 699,448/x
  3. Step 3: Cross multiply
    321,948x = 699,448 × 699,448
  4. Step 4: Simplify right side
    321,948x = 489,227,504,704
  5. Step 5: Solve for x
    x = 489,227,504,704/321,948
  6. Step 6: Final answer
    x = 1,519,585.48

Related Problems

Find third proportional to 160,974 and 349,724
Half scale
Find third proportional to 643,896 and 1,398,896
Double scale
Find third proportional to 321,950 and 699,452
Similar ratio
Find third proportional to 482,922 and 1,049,172
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.