Home / 6,768-7,780.50

Finding the Third Proportional to 6,768 and 7,780.50

Calculator

Solution

The third proportional to 6,768 and 7,780.50 is: 8,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 7,780.50 = 7,780.50 : x
  2. Step 2: Convert to fraction form
    6,768/7,780.50 = 7,780.50/x
  3. Step 3: Cross multiply
    6,768x = 7,780.50 × 7,780.50
  4. Step 4: Simplify right side
    6,768x = 60,536,180.25
  5. Step 5: Solve for x
    x = 60,536,180.25/6,768
  6. Step 6: Final answer
    x = 8,944.47

Related Problems

Find third proportional to 3,384 and 3,890.25
Half scale
Find third proportional to 13,536 and 15,561
Double scale
Find third proportional to 6,770 and 7,783
Similar ratio
Find third proportional to 10,152 and 11,670.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.