Home / 7,758-10,677

Finding the Third Proportional to 7,758 and 10,677

Calculator

Solution

The third proportional to 7,758 and 10,677 is: 14,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758 : 10,677 = 10,677 : x
  2. Step 2: Convert to fraction form
    7,758/10,677 = 10,677/x
  3. Step 3: Cross multiply
    7,758x = 10,677 × 10,677
  4. Step 4: Simplify right side
    7,758x = 113,998,329
  5. Step 5: Solve for x
    x = 113,998,329/7,758
  6. Step 6: Final answer
    x = 14,694.29

Related Problems

Find third proportional to 3,879 and 5,338.50
Half scale
Find third proportional to 15,516 and 21,354
Double scale
Find third proportional to 7,760 and 10,680
Similar ratio
Find third proportional to 11,637 and 16,015.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.