Home / 8,221-12,283

Finding the Third Proportional to 8,221 and 12,283

Calculator

Solution

The third proportional to 8,221 and 12,283 is: 18,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 12,283 = 12,283 : x
  2. Step 2: Convert to fraction form
    8,221/12,283 = 12,283/x
  3. Step 3: Cross multiply
    8,221x = 12,283 × 12,283
  4. Step 4: Simplify right side
    8,221x = 150,872,089
  5. Step 5: Solve for x
    x = 150,872,089/8,221
  6. Step 6: Final answer
    x = 18,352.04

Related Problems

Find third proportional to 4,110.50 and 6,141.50
Half scale
Find third proportional to 16,442 and 24,566
Double scale
Find third proportional to 8,223 and 12,286
Similar ratio
Find third proportional to 12,331.50 and 18,424.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.