Home / 32,215-69,193

Finding the Third Proportional to 32,215 and 69,193

Calculator

Solution

The third proportional to 32,215 and 69,193 is: 148,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215 : 69,193 = 69,193 : x
  2. Step 2: Convert to fraction form
    32,215/69,193 = 69,193/x
  3. Step 3: Cross multiply
    32,215x = 69,193 × 69,193
  4. Step 4: Simplify right side
    32,215x = 4,787,671,249
  5. Step 5: Solve for x
    x = 4,787,671,249/32,215
  6. Step 6: Final answer
    x = 148,616.21

Related Problems

Find third proportional to 16,107.50 and 34,596.50
Half scale
Find third proportional to 64,430 and 138,386
Double scale
Find third proportional to 32,217 and 69,197
Similar ratio
Find third proportional to 48,322.50 and 103,789.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.