Home / 6,714-9,600

Finding the Third Proportional to 6,714 and 9,600

Calculator

Solution

The third proportional to 6,714 and 9,600 is: 13,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 9,600 = 9,600 : x
  2. Step 2: Convert to fraction form
    6,714/9,600 = 9,600/x
  3. Step 3: Cross multiply
    6,714x = 9,600 × 9,600
  4. Step 4: Simplify right side
    6,714x = 92,160,000
  5. Step 5: Solve for x
    x = 92,160,000/6,714
  6. Step 6: Final answer
    x = 13,726.54

Related Problems

Find third proportional to 3,357 and 4,800
Half scale
Find third proportional to 13,428 and 19,200
Double scale
Find third proportional to 6,716 and 9,603
Similar ratio
Find third proportional to 10,071 and 14,400
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.