Home / 7,709-11,542

Finding the Third Proportional to 7,709 and 11,542

Calculator

Solution

The third proportional to 7,709 and 11,542 is: 17,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709 : 11,542 = 11,542 : x
  2. Step 2: Convert to fraction form
    7,709/11,542 = 11,542/x
  3. Step 3: Cross multiply
    7,709x = 11,542 × 11,542
  4. Step 4: Simplify right side
    7,709x = 133,217,764
  5. Step 5: Solve for x
    x = 133,217,764/7,709
  6. Step 6: Final answer
    x = 17,280.81

Related Problems

Find third proportional to 3,854.50 and 5,771
Half scale
Find third proportional to 15,418 and 23,084
Double scale
Find third proportional to 7,711 and 11,545
Similar ratio
Find third proportional to 11,563.50 and 17,313
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.