Home / 7,823-11,308

Finding the Third Proportional to 7,823 and 11,308

Calculator

Solution

The third proportional to 7,823 and 11,308 is: 16,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823 : 11,308 = 11,308 : x
  2. Step 2: Convert to fraction form
    7,823/11,308 = 11,308/x
  3. Step 3: Cross multiply
    7,823x = 11,308 × 11,308
  4. Step 4: Simplify right side
    7,823x = 127,870,864
  5. Step 5: Solve for x
    x = 127,870,864/7,823
  6. Step 6: Final answer
    x = 16,345.50

Related Problems

Find third proportional to 3,911.50 and 5,654
Half scale
Find third proportional to 15,646 and 22,616
Double scale
Find third proportional to 7,825 and 11,311
Similar ratio
Find third proportional to 11,734.50 and 16,962
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.