Home / 5,228-6,914

Finding the Third Proportional to 5,228 and 6,914

Calculator

Solution

The third proportional to 5,228 and 6,914 is: 9,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228 : 6,914 = 6,914 : x
  2. Step 2: Convert to fraction form
    5,228/6,914 = 6,914/x
  3. Step 3: Cross multiply
    5,228x = 6,914 × 6,914
  4. Step 4: Simplify right side
    5,228x = 47,803,396
  5. Step 5: Solve for x
    x = 47,803,396/5,228
  6. Step 6: Final answer
    x = 9,143.73

Related Problems

Find third proportional to 2,614 and 3,457
Half scale
Find third proportional to 10,456 and 13,828
Double scale
Find third proportional to 5,230 and 6,917
Similar ratio
Find third proportional to 7,842 and 10,371
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.