Home / 834-1,689

Finding the Third Proportional to 834 and 1,689

Calculator

Solution

The third proportional to 834 and 1,689 is: 3,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,689 = 1,689 : x
  2. Step 2: Convert to fraction form
    834/1,689 = 1,689/x
  3. Step 3: Cross multiply
    834x = 1,689 × 1,689
  4. Step 4: Simplify right side
    834x = 2,852,721
  5. Step 5: Solve for x
    x = 2,852,721/834
  6. Step 6: Final answer
    x = 3,420.53

Related Problems

Find third proportional to 417 and 844.50
Half scale
Find third proportional to 1,668 and 3,378
Double scale
Find third proportional to 836 and 1,693
Similar ratio
Find third proportional to 1,251 and 2,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.