Home / 6,684-13,560

Finding the Third Proportional to 6,684 and 13,560

Calculator

Solution

The third proportional to 6,684 and 13,560 is: 27,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684 : 13,560 = 13,560 : x
  2. Step 2: Convert to fraction form
    6,684/13,560 = 13,560/x
  3. Step 3: Cross multiply
    6,684x = 13,560 × 13,560
  4. Step 4: Simplify right side
    6,684x = 183,873,600
  5. Step 5: Solve for x
    x = 183,873,600/6,684
  6. Step 6: Final answer
    x = 27,509.52

Related Problems

Find third proportional to 3,342 and 6,780
Half scale
Find third proportional to 13,368 and 27,120
Double scale
Find third proportional to 6,686 and 13,564
Similar ratio
Find third proportional to 10,026 and 20,340
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.