Home / 5,790-13,413

Finding the Third Proportional to 5,790 and 13,413

Calculator

Solution

The third proportional to 5,790 and 13,413 is: 31,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 13,413 = 13,413 : x
  2. Step 2: Convert to fraction form
    5,790/13,413 = 13,413/x
  3. Step 3: Cross multiply
    5,790x = 13,413 × 13,413
  4. Step 4: Simplify right side
    5,790x = 179,908,569
  5. Step 5: Solve for x
    x = 179,908,569/5,790
  6. Step 6: Final answer
    x = 31,072.29

Related Problems

Find third proportional to 2,895 and 6,706.50
Half scale
Find third proportional to 11,580 and 26,826
Double scale
Find third proportional to 5,792 and 13,418
Similar ratio
Find third proportional to 8,685 and 20,119.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.