Home / 694-842

Finding the Third Proportional to 694 and 842

Calculator

Solution

The third proportional to 694 and 842 is: 1,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694 : 842 = 842 : x
  2. Step 2: Convert to fraction form
    694/842 = 842/x
  3. Step 3: Cross multiply
    694x = 842 × 842
  4. Step 4: Simplify right side
    694x = 708,964
  5. Step 5: Solve for x
    x = 708,964/694
  6. Step 6: Final answer
    x = 1,021.56

Related Problems

Find third proportional to 347 and 421
Half scale
Find third proportional to 1,388 and 1,684
Double scale
Find third proportional to 696 and 844
Similar ratio
Find third proportional to 1,041 and 1,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.