Home / 1,584-3,698

Finding the Third Proportional to 1,584 and 3,698

Calculator

Solution

The third proportional to 1,584 and 3,698 is: 8,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 3,698 = 3,698 : x
  2. Step 2: Convert to fraction form
    1,584/3,698 = 3,698/x
  3. Step 3: Cross multiply
    1,584x = 3,698 × 3,698
  4. Step 4: Simplify right side
    1,584x = 13,675,204
  5. Step 5: Solve for x
    x = 13,675,204/1,584
  6. Step 6: Final answer
    x = 8,633.34

Related Problems

Find third proportional to 792 and 1,849
Half scale
Find third proportional to 3,168 and 7,396
Double scale
Find third proportional to 1,586 and 3,703
Similar ratio
Find third proportional to 2,376 and 5,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.