Home / 31,692-68,857

Finding the Third Proportional to 31,692 and 68,857

Calculator

Solution

The third proportional to 31,692 and 68,857 is: 149,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692 : 68,857 = 68,857 : x
  2. Step 2: Convert to fraction form
    31,692/68,857 = 68,857/x
  3. Step 3: Cross multiply
    31,692x = 68,857 × 68,857
  4. Step 4: Simplify right side
    31,692x = 4,741,286,449
  5. Step 5: Solve for x
    x = 4,741,286,449/31,692
  6. Step 6: Final answer
    x = 149,605.15

Related Problems

Find third proportional to 15,846 and 34,428.50
Half scale
Find third proportional to 63,384 and 137,714
Double scale
Find third proportional to 31,694 and 68,861
Similar ratio
Find third proportional to 47,538 and 103,285.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.