Home / 381,324-813,324

Finding the Third Proportional to 381,324 and 813,324

Calculator

Solution

The third proportional to 381,324 and 813,324 is: 1,734,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,324 : 813,324 = 813,324 : x
  2. Step 2: Convert to fraction form
    381,324/813,324 = 813,324/x
  3. Step 3: Cross multiply
    381,324x = 813,324 × 813,324
  4. Step 4: Simplify right side
    381,324x = 661,495,928,976
  5. Step 5: Solve for x
    x = 661,495,928,976/381,324
  6. Step 6: Final answer
    x = 1,734,734.58

Related Problems

Find third proportional to 190,662 and 406,662
Half scale
Find third proportional to 762,648 and 1,626,648
Double scale
Find third proportional to 381,326 and 813,328
Similar ratio
Find third proportional to 571,986 and 1,219,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.