Home / 410,422-616,821

Finding the Third Proportional to 410,422 and 616,821

Calculator

Solution

The third proportional to 410,422 and 616,821 is: 927,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,422 : 616,821 = 616,821 : x
  2. Step 2: Convert to fraction form
    410,422/616,821 = 616,821/x
  3. Step 3: Cross multiply
    410,422x = 616,821 × 616,821
  4. Step 4: Simplify right side
    410,422x = 380,468,146,041
  5. Step 5: Solve for x
    x = 380,468,146,041/410,422
  6. Step 6: Final answer
    x = 927,016.94

Related Problems

Find third proportional to 205,211 and 308,410.50
Half scale
Find third proportional to 820,844 and 1,233,642
Double scale
Find third proportional to 410,424 and 616,824
Similar ratio
Find third proportional to 615,633 and 925,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.