Home / 6,782-13,735

Finding the Third Proportional to 6,782 and 13,735

Calculator

Solution

The third proportional to 6,782 and 13,735 is: 27,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 13,735 = 13,735 : x
  2. Step 2: Convert to fraction form
    6,782/13,735 = 13,735/x
  3. Step 3: Cross multiply
    6,782x = 13,735 × 13,735
  4. Step 4: Simplify right side
    6,782x = 188,650,225
  5. Step 5: Solve for x
    x = 188,650,225/6,782
  6. Step 6: Final answer
    x = 27,816.31

Related Problems

Find third proportional to 3,391 and 6,867.50
Half scale
Find third proportional to 13,564 and 27,470
Double scale
Find third proportional to 6,784 and 13,739
Similar ratio
Find third proportional to 10,173 and 20,602.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.