Home / 6,438-13,284

Finding the Third Proportional to 6,438 and 13,284

Calculator

Solution

The third proportional to 6,438 and 13,284 is: 27,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 13,284 = 13,284 : x
  2. Step 2: Convert to fraction form
    6,438/13,284 = 13,284/x
  3. Step 3: Cross multiply
    6,438x = 13,284 × 13,284
  4. Step 4: Simplify right side
    6,438x = 176,464,656
  5. Step 5: Solve for x
    x = 176,464,656/6,438
  6. Step 6: Final answer
    x = 27,409.86

Related Problems

Find third proportional to 3,219 and 6,642
Half scale
Find third proportional to 12,876 and 26,568
Double scale
Find third proportional to 6,440 and 13,288
Similar ratio
Find third proportional to 9,657 and 19,926
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.