Home / 1,084-1,656

Finding the Third Proportional to 1,084 and 1,656

Calculator

Solution

The third proportional to 1,084 and 1,656 is: 2,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084 : 1,656 = 1,656 : x
  2. Step 2: Convert to fraction form
    1,084/1,656 = 1,656/x
  3. Step 3: Cross multiply
    1,084x = 1,656 × 1,656
  4. Step 4: Simplify right side
    1,084x = 2,742,336
  5. Step 5: Solve for x
    x = 2,742,336/1,084
  6. Step 6: Final answer
    x = 2,529.83

Related Problems

Find third proportional to 542 and 828
Half scale
Find third proportional to 2,168 and 3,312
Double scale
Find third proportional to 1,086 and 1,659
Similar ratio
Find third proportional to 1,626 and 2,484
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.