Home / 7,434-16,384

Finding the Third Proportional to 7,434 and 16,384

Calculator

Solution

The third proportional to 7,434 and 16,384 is: 36,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 16,384 = 16,384 : x
  2. Step 2: Convert to fraction form
    7,434/16,384 = 16,384/x
  3. Step 3: Cross multiply
    7,434x = 16,384 × 16,384
  4. Step 4: Simplify right side
    7,434x = 268,435,456
  5. Step 5: Solve for x
    x = 268,435,456/7,434
  6. Step 6: Final answer
    x = 36,109.15

Related Problems

Find third proportional to 3,717 and 8,192
Half scale
Find third proportional to 14,868 and 32,768
Double scale
Find third proportional to 7,436 and 16,388
Similar ratio
Find third proportional to 11,151 and 24,576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.