Home / 8,286-19,932

Finding the Third Proportional to 8,286 and 19,932

Calculator

Solution

The third proportional to 8,286 and 19,932 is: 47,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 19,932 = 19,932 : x
  2. Step 2: Convert to fraction form
    8,286/19,932 = 19,932/x
  3. Step 3: Cross multiply
    8,286x = 19,932 × 19,932
  4. Step 4: Simplify right side
    8,286x = 397,284,624
  5. Step 5: Solve for x
    x = 397,284,624/8,286
  6. Step 6: Final answer
    x = 47,946.49

Related Problems

Find third proportional to 4,143 and 9,966
Half scale
Find third proportional to 16,572 and 39,864
Double scale
Find third proportional to 8,288 and 19,937
Similar ratio
Find third proportional to 12,429 and 29,898
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.