Home / 15,784-24,231

Finding the Third Proportional to 15,784 and 24,231

Calculator

Solution

The third proportional to 15,784 and 24,231 is: 37,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 24,231 = 24,231 : x
  2. Step 2: Convert to fraction form
    15,784/24,231 = 24,231/x
  3. Step 3: Cross multiply
    15,784x = 24,231 × 24,231
  4. Step 4: Simplify right side
    15,784x = 587,141,361
  5. Step 5: Solve for x
    x = 587,141,361/15,784
  6. Step 6: Final answer
    x = 37,198.52

Related Problems

Find third proportional to 7,892 and 12,115.50
Half scale
Find third proportional to 31,568 and 48,462
Double scale
Find third proportional to 15,786 and 24,234
Similar ratio
Find third proportional to 23,676 and 36,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.