Home / 820,324-1,283,916

Finding the Third Proportional to 820,324 and 1,283,916

Calculator

Solution

The third proportional to 820,324 and 1,283,916 is: 2,009,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,324 : 1,283,916 = 1,283,916 : x
  2. Step 2: Convert to fraction form
    820,324/1,283,916 = 1,283,916/x
  3. Step 3: Cross multiply
    820,324x = 1,283,916 × 1,283,916
  4. Step 4: Simplify right side
    820,324x = 1,648,440,295,056
  5. Step 5: Solve for x
    x = 1,648,440,295,056/820,324
  6. Step 6: Final answer
    x = 2,009,499.05

Related Problems

Find third proportional to 410,162 and 641,958
Half scale
Find third proportional to 1,640,648 and 2,567,832
Double scale
Find third proportional to 820,326 and 1,283,919
Similar ratio
Find third proportional to 1,230,486 and 1,925,874
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.