Home / 4,678-7,238

Finding the Third Proportional to 4,678 and 7,238

Calculator

Solution

The third proportional to 4,678 and 7,238 is: 11,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 7,238 = 7,238 : x
  2. Step 2: Convert to fraction form
    4,678/7,238 = 7,238/x
  3. Step 3: Cross multiply
    4,678x = 7,238 × 7,238
  4. Step 4: Simplify right side
    4,678x = 52,388,644
  5. Step 5: Solve for x
    x = 52,388,644/4,678
  6. Step 6: Final answer
    x = 11,198.94

Related Problems

Find third proportional to 2,339 and 3,619
Half scale
Find third proportional to 9,356 and 14,476
Double scale
Find third proportional to 4,680 and 7,241
Similar ratio
Find third proportional to 7,017 and 10,857
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.