Home / 8,362-19,777

Finding the Third Proportional to 8,362 and 19,777

Calculator

Solution

The third proportional to 8,362 and 19,777 is: 46,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362 : 19,777 = 19,777 : x
  2. Step 2: Convert to fraction form
    8,362/19,777 = 19,777/x
  3. Step 3: Cross multiply
    8,362x = 19,777 × 19,777
  4. Step 4: Simplify right side
    8,362x = 391,129,729
  5. Step 5: Solve for x
    x = 391,129,729/8,362
  6. Step 6: Final answer
    x = 46,774.66

Related Problems

Find third proportional to 4,181 and 9,888.50
Half scale
Find third proportional to 16,724 and 39,554
Double scale
Find third proportional to 8,364 and 19,782
Similar ratio
Find third proportional to 12,543 and 29,665.50
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.