Home / 12,402-19,209

Finding the Third Proportional to 12,402 and 19,209

Calculator

Solution

The third proportional to 12,402 and 19,209 is: 29,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 19,209 = 19,209 : x
  2. Step 2: Convert to fraction form
    12,402/19,209 = 19,209/x
  3. Step 3: Cross multiply
    12,402x = 19,209 × 19,209
  4. Step 4: Simplify right side
    12,402x = 368,985,681
  5. Step 5: Solve for x
    x = 368,985,681/12,402
  6. Step 6: Final answer
    x = 29,752.11

Related Problems

Find third proportional to 6,201 and 9,604.50
Half scale
Find third proportional to 24,804 and 38,418
Double scale
Find third proportional to 12,404 and 19,212
Similar ratio
Find third proportional to 18,603 and 28,813.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.