Home / 5,972-9,777

Finding the Third Proportional to 5,972 and 9,777

Calculator

Solution

The third proportional to 5,972 and 9,777 is: 16,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 9,777 = 9,777 : x
  2. Step 2: Convert to fraction form
    5,972/9,777 = 9,777/x
  3. Step 3: Cross multiply
    5,972x = 9,777 × 9,777
  4. Step 4: Simplify right side
    5,972x = 95,589,729
  5. Step 5: Solve for x
    x = 95,589,729/5,972
  6. Step 6: Final answer
    x = 16,006.32

Related Problems

Find third proportional to 2,986 and 4,888.50
Half scale
Find third proportional to 11,944 and 19,554
Double scale
Find third proportional to 5,974 and 9,780
Similar ratio
Find third proportional to 8,958 and 14,665.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.