Home / 8,214-17,406

Finding the Third Proportional to 8,214 and 17,406

Calculator

Solution

The third proportional to 8,214 and 17,406 is: 36,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214 : 17,406 = 17,406 : x
  2. Step 2: Convert to fraction form
    8,214/17,406 = 17,406/x
  3. Step 3: Cross multiply
    8,214x = 17,406 × 17,406
  4. Step 4: Simplify right side
    8,214x = 302,968,836
  5. Step 5: Solve for x
    x = 302,968,836/8,214
  6. Step 6: Final answer
    x = 36,884.45

Related Problems

Find third proportional to 4,107 and 8,703
Half scale
Find third proportional to 16,428 and 34,812
Double scale
Find third proportional to 8,216 and 17,410
Similar ratio
Find third proportional to 12,321 and 26,109
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.