Home / 9,823-15,231

Finding the Third Proportional to 9,823 and 15,231

Calculator

Solution

The third proportional to 9,823 and 15,231 is: 23,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 15,231 = 15,231 : x
  2. Step 2: Convert to fraction form
    9,823/15,231 = 15,231/x
  3. Step 3: Cross multiply
    9,823x = 15,231 × 15,231
  4. Step 4: Simplify right side
    9,823x = 231,983,361
  5. Step 5: Solve for x
    x = 231,983,361/9,823
  6. Step 6: Final answer
    x = 23,616.35

Related Problems

Find third proportional to 4,911.50 and 7,615.50
Half scale
Find third proportional to 19,646 and 30,462
Double scale
Find third proportional to 9,825 and 15,234
Similar ratio
Find third proportional to 14,734.50 and 22,846.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.