Home / 410,162-641,958

Finding the Third Proportional to 410,162 and 641,958

Calculator

Solution

The third proportional to 410,162 and 641,958 is: 1,004,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,162 : 641,958 = 641,958 : x
  2. Step 2: Convert to fraction form
    410,162/641,958 = 641,958/x
  3. Step 3: Cross multiply
    410,162x = 641,958 × 641,958
  4. Step 4: Simplify right side
    410,162x = 412,110,073,764
  5. Step 5: Solve for x
    x = 412,110,073,764/410,162
  6. Step 6: Final answer
    x = 1,004,749.52

Related Problems

Find third proportional to 205,081 and 320,979
Half scale
Find third proportional to 820,324 and 1,283,916
Double scale
Find third proportional to 410,164 and 641,961
Similar ratio
Find third proportional to 615,243 and 962,937
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.