Home / 2,828-6,542

Finding the Third Proportional to 2,828 and 6,542

Calculator

Solution

The third proportional to 2,828 and 6,542 is: 15,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828 : 6,542 = 6,542 : x
  2. Step 2: Convert to fraction form
    2,828/6,542 = 6,542/x
  3. Step 3: Cross multiply
    2,828x = 6,542 × 6,542
  4. Step 4: Simplify right side
    2,828x = 42,797,764
  5. Step 5: Solve for x
    x = 42,797,764/2,828
  6. Step 6: Final answer
    x = 15,133.58

Related Problems

Find third proportional to 1,414 and 3,271
Half scale
Find third proportional to 5,656 and 13,084
Double scale
Find third proportional to 2,830 and 6,547
Similar ratio
Find third proportional to 4,242 and 9,813
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.