Home / 6,834-10,207

Finding the Third Proportional to 6,834 and 10,207

Calculator

Solution

The third proportional to 6,834 and 10,207 is: 15,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 10,207 = 10,207 : x
  2. Step 2: Convert to fraction form
    6,834/10,207 = 10,207/x
  3. Step 3: Cross multiply
    6,834x = 10,207 × 10,207
  4. Step 4: Simplify right side
    6,834x = 104,182,849
  5. Step 5: Solve for x
    x = 104,182,849/6,834
  6. Step 6: Final answer
    x = 15,244.78

Related Problems

Find third proportional to 3,417 and 5,103.50
Half scale
Find third proportional to 13,668 and 20,414
Double scale
Find third proportional to 6,836 and 10,210
Similar ratio
Find third proportional to 10,251 and 15,310.50
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.