Home / 12,223-19,065

Finding the Third Proportional to 12,223 and 19,065

Calculator

Solution

The third proportional to 12,223 and 19,065 is: 29,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223 : 19,065 = 19,065 : x
  2. Step 2: Convert to fraction form
    12,223/19,065 = 19,065/x
  3. Step 3: Cross multiply
    12,223x = 19,065 × 19,065
  4. Step 4: Simplify right side
    12,223x = 363,474,225
  5. Step 5: Solve for x
    x = 363,474,225/12,223
  6. Step 6: Final answer
    x = 29,736.91

Related Problems

Find third proportional to 6,111.50 and 9,532.50
Half scale
Find third proportional to 24,446 and 38,130
Double scale
Find third proportional to 12,225 and 19,068
Similar ratio
Find third proportional to 18,334.50 and 28,597.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.