Home / 10,090-12,214

Finding the Third Proportional to 10,090 and 12,214

Calculator

Solution

The third proportional to 10,090 and 12,214 is: 14,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 12,214 = 12,214 : x
  2. Step 2: Convert to fraction form
    10,090/12,214 = 12,214/x
  3. Step 3: Cross multiply
    10,090x = 12,214 × 12,214
  4. Step 4: Simplify right side
    10,090x = 149,181,796
  5. Step 5: Solve for x
    x = 149,181,796/10,090
  6. Step 6: Final answer
    x = 14,785.11

Related Problems

Find third proportional to 5,045 and 6,107
Half scale
Find third proportional to 20,180 and 24,428
Double scale
Find third proportional to 10,092 and 12,216
Similar ratio
Find third proportional to 15,135 and 18,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.