Home / 7,770-11,287

Finding the Third Proportional to 7,770 and 11,287

Calculator

Solution

The third proportional to 7,770 and 11,287 is: 16,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770 : 11,287 = 11,287 : x
  2. Step 2: Convert to fraction form
    7,770/11,287 = 11,287/x
  3. Step 3: Cross multiply
    7,770x = 11,287 × 11,287
  4. Step 4: Simplify right side
    7,770x = 127,396,369
  5. Step 5: Solve for x
    x = 127,396,369/7,770
  6. Step 6: Final answer
    x = 16,395.93

Related Problems

Find third proportional to 3,885 and 5,643.50
Half scale
Find third proportional to 15,540 and 22,574
Double scale
Find third proportional to 7,772 and 11,290
Similar ratio
Find third proportional to 11,655 and 16,930.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.