Home / 5,964-6,780

Finding the Third Proportional to 5,964 and 6,780

Calculator

Solution

The third proportional to 5,964 and 6,780 is: 7,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964 : 6,780 = 6,780 : x
  2. Step 2: Convert to fraction form
    5,964/6,780 = 6,780/x
  3. Step 3: Cross multiply
    5,964x = 6,780 × 6,780
  4. Step 4: Simplify right side
    5,964x = 45,968,400
  5. Step 5: Solve for x
    x = 45,968,400/5,964
  6. Step 6: Final answer
    x = 7,707.65

Related Problems

Find third proportional to 2,982 and 3,390
Half scale
Find third proportional to 11,928 and 13,560
Double scale
Find third proportional to 5,966 and 6,782
Similar ratio
Find third proportional to 8,946 and 10,170
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.