Home / 3,122-7,697

Finding the Third Proportional to 3,122 and 7,697

Calculator

Solution

The third proportional to 3,122 and 7,697 is: 18,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122 : 7,697 = 7,697 : x
  2. Step 2: Convert to fraction form
    3,122/7,697 = 7,697/x
  3. Step 3: Cross multiply
    3,122x = 7,697 × 7,697
  4. Step 4: Simplify right side
    3,122x = 59,243,809
  5. Step 5: Solve for x
    x = 59,243,809/3,122
  6. Step 6: Final answer
    x = 18,976.24

Related Problems

Find third proportional to 1,561 and 3,848.50
Half scale
Find third proportional to 6,244 and 15,394
Double scale
Find third proportional to 3,124 and 7,702
Similar ratio
Find third proportional to 4,683 and 11,545.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.