Home / 5,834-6,698

Finding the Third Proportional to 5,834 and 6,698

Calculator

Solution

The third proportional to 5,834 and 6,698 is: 7,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834 : 6,698 = 6,698 : x
  2. Step 2: Convert to fraction form
    5,834/6,698 = 6,698/x
  3. Step 3: Cross multiply
    5,834x = 6,698 × 6,698
  4. Step 4: Simplify right side
    5,834x = 44,863,204
  5. Step 5: Solve for x
    x = 44,863,204/5,834
  6. Step 6: Final answer
    x = 7,689.96

Related Problems

Find third proportional to 2,917 and 3,349
Half scale
Find third proportional to 11,668 and 13,396
Double scale
Find third proportional to 5,836 and 6,700
Similar ratio
Find third proportional to 8,751 and 10,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.