Home / 8,461-18,221

Finding the Third Proportional to 8,461 and 18,221

Calculator

Solution

The third proportional to 8,461 and 18,221 is: 39,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461 : 18,221 = 18,221 : x
  2. Step 2: Convert to fraction form
    8,461/18,221 = 18,221/x
  3. Step 3: Cross multiply
    8,461x = 18,221 × 18,221
  4. Step 4: Simplify right side
    8,461x = 332,004,841
  5. Step 5: Solve for x
    x = 332,004,841/8,461
  6. Step 6: Final answer
    x = 39,239.43

Related Problems

Find third proportional to 4,230.50 and 9,110.50
Half scale
Find third proportional to 16,922 and 36,442
Double scale
Find third proportional to 8,463 and 18,225
Similar ratio
Find third proportional to 12,691.50 and 27,331.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.