Home / 6,024-12,816

Finding the Third Proportional to 6,024 and 12,816

Calculator

Solution

The third proportional to 6,024 and 12,816 is: 27,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 12,816 = 12,816 : x
  2. Step 2: Convert to fraction form
    6,024/12,816 = 12,816/x
  3. Step 3: Cross multiply
    6,024x = 12,816 × 12,816
  4. Step 4: Simplify right side
    6,024x = 164,249,856
  5. Step 5: Solve for x
    x = 164,249,856/6,024
  6. Step 6: Final answer
    x = 27,265.91

Related Problems

Find third proportional to 3,012 and 6,408
Half scale
Find third proportional to 12,048 and 25,632
Double scale
Find third proportional to 6,026 and 12,820
Similar ratio
Find third proportional to 9,036 and 19,224
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.