Home / 12,828-16,782

Finding the Third Proportional to 12,828 and 16,782

Calculator

Solution

The third proportional to 12,828 and 16,782 is: 21,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828 : 16,782 = 16,782 : x
  2. Step 2: Convert to fraction form
    12,828/16,782 = 16,782/x
  3. Step 3: Cross multiply
    12,828x = 16,782 × 16,782
  4. Step 4: Simplify right side
    12,828x = 281,635,524
  5. Step 5: Solve for x
    x = 281,635,524/12,828
  6. Step 6: Final answer
    x = 21,954.75

Related Problems

Find third proportional to 6,414 and 8,391
Half scale
Find third proportional to 25,656 and 33,564
Double scale
Find third proportional to 12,830 and 16,785
Similar ratio
Find third proportional to 19,242 and 25,173
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.