Home / 8,224-9,614

Finding the Third Proportional to 8,224 and 9,614

Calculator

Solution

The third proportional to 8,224 and 9,614 is: 11,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 9,614 = 9,614 : x
  2. Step 2: Convert to fraction form
    8,224/9,614 = 9,614/x
  3. Step 3: Cross multiply
    8,224x = 9,614 × 9,614
  4. Step 4: Simplify right side
    8,224x = 92,428,996
  5. Step 5: Solve for x
    x = 92,428,996/8,224
  6. Step 6: Final answer
    x = 11,238.93

Related Problems

Find third proportional to 4,112 and 4,807
Half scale
Find third proportional to 16,448 and 19,228
Double scale
Find third proportional to 8,226 and 9,616
Similar ratio
Find third proportional to 12,336 and 14,421
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.