Home / 8,364-19,815

Finding the Third Proportional to 8,364 and 19,815

Calculator

Solution

The third proportional to 8,364 and 19,815 is: 46,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364 : 19,815 = 19,815 : x
  2. Step 2: Convert to fraction form
    8,364/19,815 = 19,815/x
  3. Step 3: Cross multiply
    8,364x = 19,815 × 19,815
  4. Step 4: Simplify right side
    8,364x = 392,634,225
  5. Step 5: Solve for x
    x = 392,634,225/8,364
  6. Step 6: Final answer
    x = 46,943.36

Related Problems

Find third proportional to 4,182 and 9,907.50
Half scale
Find third proportional to 16,728 and 39,630
Double scale
Find third proportional to 8,366 and 19,820
Similar ratio
Find third proportional to 12,546 and 29,722.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.