Home / 6,784-15,748

Finding the Third Proportional to 6,784 and 15,748

Calculator

Solution

The third proportional to 6,784 and 15,748 is: 36,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 15,748 = 15,748 : x
  2. Step 2: Convert to fraction form
    6,784/15,748 = 15,748/x
  3. Step 3: Cross multiply
    6,784x = 15,748 × 15,748
  4. Step 4: Simplify right side
    6,784x = 247,999,504
  5. Step 5: Solve for x
    x = 247,999,504/6,784
  6. Step 6: Final answer
    x = 36,556.53

Related Problems

Find third proportional to 3,392 and 7,874
Half scale
Find third proportional to 13,568 and 31,496
Double scale
Find third proportional to 6,786 and 15,753
Similar ratio
Find third proportional to 10,176 and 23,622
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.