Home / 5,740-8,289

Finding the Third Proportional to 5,740 and 8,289

Calculator

Solution

The third proportional to 5,740 and 8,289 is: 11,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740 : 8,289 = 8,289 : x
  2. Step 2: Convert to fraction form
    5,740/8,289 = 8,289/x
  3. Step 3: Cross multiply
    5,740x = 8,289 × 8,289
  4. Step 4: Simplify right side
    5,740x = 68,707,521
  5. Step 5: Solve for x
    x = 68,707,521/5,740
  6. Step 6: Final answer
    x = 11,969.95

Related Problems

Find third proportional to 2,870 and 4,144.50
Half scale
Find third proportional to 11,480 and 16,578
Double scale
Find third proportional to 5,742 and 8,292
Similar ratio
Find third proportional to 8,610 and 12,433.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.