Home / 12,214-18,233

Finding the Third Proportional to 12,214 and 18,233

Calculator

Solution

The third proportional to 12,214 and 18,233 is: 27,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214 : 18,233 = 18,233 : x
  2. Step 2: Convert to fraction form
    12,214/18,233 = 18,233/x
  3. Step 3: Cross multiply
    12,214x = 18,233 × 18,233
  4. Step 4: Simplify right side
    12,214x = 332,442,289
  5. Step 5: Solve for x
    x = 332,442,289/12,214
  6. Step 6: Final answer
    x = 27,218.13

Related Problems

Find third proportional to 6,107 and 9,116.50
Half scale
Find third proportional to 24,428 and 36,466
Double scale
Find third proportional to 12,216 and 18,236
Similar ratio
Find third proportional to 18,321 and 27,349.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.