Home / 3,784-9,892

Finding the Third Proportional to 3,784 and 9,892

Calculator

Solution

The third proportional to 3,784 and 9,892 is: 25,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 9,892 = 9,892 : x
  2. Step 2: Convert to fraction form
    3,784/9,892 = 9,892/x
  3. Step 3: Cross multiply
    3,784x = 9,892 × 9,892
  4. Step 4: Simplify right side
    3,784x = 97,851,664
  5. Step 5: Solve for x
    x = 97,851,664/3,784
  6. Step 6: Final answer
    x = 25,859.32

Related Problems

Find third proportional to 1,892 and 4,946
Half scale
Find third proportional to 7,568 and 19,784
Double scale
Find third proportional to 3,786 and 9,897
Similar ratio
Find third proportional to 5,676 and 14,838
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.