Home / 5,006-7,777

Finding the Third Proportional to 5,006 and 7,777

Calculator

Solution

The third proportional to 5,006 and 7,777 is: 12,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 7,777 = 7,777 : x
  2. Step 2: Convert to fraction form
    5,006/7,777 = 7,777/x
  3. Step 3: Cross multiply
    5,006x = 7,777 × 7,777
  4. Step 4: Simplify right side
    5,006x = 60,481,729
  5. Step 5: Solve for x
    x = 60,481,729/5,006
  6. Step 6: Final answer
    x = 12,081.85

Related Problems

Find third proportional to 2,503 and 3,888.50
Half scale
Find third proportional to 10,012 and 15,554
Double scale
Find third proportional to 5,008 and 7,780
Similar ratio
Find third proportional to 7,509 and 11,665.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.