Home / 1,728-3,698

Finding the Third Proportional to 1,728 and 3,698

Calculator

Solution

The third proportional to 1,728 and 3,698 is: 7,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 3,698 = 3,698 : x
  2. Step 2: Convert to fraction form
    1,728/3,698 = 3,698/x
  3. Step 3: Cross multiply
    1,728x = 3,698 × 3,698
  4. Step 4: Simplify right side
    1,728x = 13,675,204
  5. Step 5: Solve for x
    x = 13,675,204/1,728
  6. Step 6: Final answer
    x = 7,913.89

Related Problems

Find third proportional to 864 and 1,849
Half scale
Find third proportional to 3,456 and 7,396
Double scale
Find third proportional to 1,730 and 3,702
Similar ratio
Find third proportional to 2,592 and 5,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.