Home / 32,412-68,682

Finding the Third Proportional to 32,412 and 68,682

Calculator

Solution

The third proportional to 32,412 and 68,682 is: 145,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 68,682 = 68,682 : x
  2. Step 2: Convert to fraction form
    32,412/68,682 = 68,682/x
  3. Step 3: Cross multiply
    32,412x = 68,682 × 68,682
  4. Step 4: Simplify right side
    32,412x = 4,717,217,124
  5. Step 5: Solve for x
    x = 4,717,217,124/32,412
  6. Step 6: Final answer
    x = 145,539.22

Related Problems

Find third proportional to 16,206 and 34,341
Half scale
Find third proportional to 64,824 and 137,364
Double scale
Find third proportional to 32,414 and 68,686
Similar ratio
Find third proportional to 48,618 and 103,023
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.