Home / 1,684-3,656

Finding the Third Proportional to 1,684 and 3,656

Calculator

Solution

The third proportional to 1,684 and 3,656 is: 7,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 3,656 = 3,656 : x
  2. Step 2: Convert to fraction form
    1,684/3,656 = 3,656/x
  3. Step 3: Cross multiply
    1,684x = 3,656 × 3,656
  4. Step 4: Simplify right side
    1,684x = 13,366,336
  5. Step 5: Solve for x
    x = 13,366,336/1,684
  6. Step 6: Final answer
    x = 7,937.25

Related Problems

Find third proportional to 842 and 1,828
Half scale
Find third proportional to 3,368 and 7,312
Double scale
Find third proportional to 1,686 and 3,660
Similar ratio
Find third proportional to 2,526 and 5,484
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.