Home / 8,357-19,799

Finding the Third Proportional to 8,357 and 19,799

Calculator

Solution

The third proportional to 8,357 and 19,799 is: 46,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 19,799 = 19,799 : x
  2. Step 2: Convert to fraction form
    8,357/19,799 = 19,799/x
  3. Step 3: Cross multiply
    8,357x = 19,799 × 19,799
  4. Step 4: Simplify right side
    8,357x = 392,000,401
  5. Step 5: Solve for x
    x = 392,000,401/8,357
  6. Step 6: Final answer
    x = 46,906.83

Related Problems

Find third proportional to 4,178.50 and 9,899.50
Half scale
Find third proportional to 16,714 and 39,598
Double scale
Find third proportional to 8,359 and 19,804
Similar ratio
Find third proportional to 12,535.50 and 29,698.50
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.