Home / 8,140-11,318

Finding the Third Proportional to 8,140 and 11,318

Calculator

Solution

The third proportional to 8,140 and 11,318 is: 15,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 11,318 = 11,318 : x
  2. Step 2: Convert to fraction form
    8,140/11,318 = 11,318/x
  3. Step 3: Cross multiply
    8,140x = 11,318 × 11,318
  4. Step 4: Simplify right side
    8,140x = 128,097,124
  5. Step 5: Solve for x
    x = 128,097,124/8,140
  6. Step 6: Final answer
    x = 15,736.75

Related Problems

Find third proportional to 4,070 and 5,659
Half scale
Find third proportional to 16,280 and 22,636
Double scale
Find third proportional to 8,142 and 11,321
Similar ratio
Find third proportional to 12,210 and 16,977
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.