Home / 1,682-3,764

Finding the Third Proportional to 1,682 and 3,764

Calculator

Solution

The third proportional to 1,682 and 3,764 is: 8,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 3,764 = 3,764 : x
  2. Step 2: Convert to fraction form
    1,682/3,764 = 3,764/x
  3. Step 3: Cross multiply
    1,682x = 3,764 × 3,764
  4. Step 4: Simplify right side
    1,682x = 14,167,696
  5. Step 5: Solve for x
    x = 14,167,696/1,682
  6. Step 6: Final answer
    x = 8,423.12

Related Problems

Find third proportional to 841 and 1,882
Half scale
Find third proportional to 3,364 and 7,528
Double scale
Find third proportional to 1,684 and 3,768
Similar ratio
Find third proportional to 2,523 and 5,646
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.