Home / 2,259-3,413

Finding the Third Proportional to 2,259 and 3,413

Calculator

Solution

The third proportional to 2,259 and 3,413 is: 5,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259 : 3,413 = 3,413 : x
  2. Step 2: Convert to fraction form
    2,259/3,413 = 3,413/x
  3. Step 3: Cross multiply
    2,259x = 3,413 × 3,413
  4. Step 4: Simplify right side
    2,259x = 11,648,569
  5. Step 5: Solve for x
    x = 11,648,569/2,259
  6. Step 6: Final answer
    x = 5,156.52

Related Problems

Find third proportional to 1,129.50 and 1,706.50
Half scale
Find third proportional to 4,518 and 6,826
Double scale
Find third proportional to 2,261 and 3,416
Similar ratio
Find third proportional to 3,388.50 and 5,119.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.