Home / 2,184-3,432

Finding the Third Proportional to 2,184 and 3,432

Calculator

Solution

The third proportional to 2,184 and 3,432 is: 5,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184 : 3,432 = 3,432 : x
  2. Step 2: Convert to fraction form
    2,184/3,432 = 3,432/x
  3. Step 3: Cross multiply
    2,184x = 3,432 × 3,432
  4. Step 4: Simplify right side
    2,184x = 11,778,624
  5. Step 5: Solve for x
    x = 11,778,624/2,184
  6. Step 6: Final answer
    x = 5,393.14

Related Problems

Find third proportional to 1,092 and 1,716
Half scale
Find third proportional to 4,368 and 6,864
Double scale
Find third proportional to 2,186 and 3,435
Similar ratio
Find third proportional to 3,276 and 5,148
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.