Home / 3,720-5,697

Finding the Third Proportional to 3,720 and 5,697

Calculator

Solution

The third proportional to 3,720 and 5,697 is: 8,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,697 = 5,697 : x
  2. Step 2: Convert to fraction form
    3,720/5,697 = 5,697/x
  3. Step 3: Cross multiply
    3,720x = 5,697 × 5,697
  4. Step 4: Simplify right side
    3,720x = 32,455,809
  5. Step 5: Solve for x
    x = 32,455,809/3,720
  6. Step 6: Final answer
    x = 8,724.68

Related Problems

Find third proportional to 1,860 and 2,848.50
Half scale
Find third proportional to 7,440 and 11,394
Double scale
Find third proportional to 3,722 and 5,700
Similar ratio
Find third proportional to 5,580 and 8,545.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.