Home / 778-1,682

Finding the Third Proportional to 778 and 1,682

Calculator

Solution

The third proportional to 778 and 1,682 is: 3,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778 : 1,682 = 1,682 : x
  2. Step 2: Convert to fraction form
    778/1,682 = 1,682/x
  3. Step 3: Cross multiply
    778x = 1,682 × 1,682
  4. Step 4: Simplify right side
    778x = 2,829,124
  5. Step 5: Solve for x
    x = 2,829,124/778
  6. Step 6: Final answer
    x = 3,636.41

Related Problems

Find third proportional to 389 and 841
Half scale
Find third proportional to 1,556 and 3,364
Double scale
Find third proportional to 780 and 1,686
Similar ratio
Find third proportional to 1,167 and 2,523
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.