Home / 11,820-18,542

Finding the Third Proportional to 11,820 and 18,542

Calculator

Solution

The third proportional to 11,820 and 18,542 is: 29,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820 : 18,542 = 18,542 : x
  2. Step 2: Convert to fraction form
    11,820/18,542 = 18,542/x
  3. Step 3: Cross multiply
    11,820x = 18,542 × 18,542
  4. Step 4: Simplify right side
    11,820x = 343,805,764
  5. Step 5: Solve for x
    x = 343,805,764/11,820
  6. Step 6: Final answer
    x = 29,086.78

Related Problems

Find third proportional to 5,910 and 9,271
Half scale
Find third proportional to 23,640 and 37,084
Double scale
Find third proportional to 11,822 and 18,545
Similar ratio
Find third proportional to 17,730 and 27,813
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.