Home / 1,650-3,509

Finding the Third Proportional to 1,650 and 3,509

Calculator

Solution

The third proportional to 1,650 and 3,509 is: 7,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 3,509 = 3,509 : x
  2. Step 2: Convert to fraction form
    1,650/3,509 = 3,509/x
  3. Step 3: Cross multiply
    1,650x = 3,509 × 3,509
  4. Step 4: Simplify right side
    1,650x = 12,313,081
  5. Step 5: Solve for x
    x = 12,313,081/1,650
  6. Step 6: Final answer
    x = 7,462.47

Related Problems

Find third proportional to 825 and 1,754.50
Half scale
Find third proportional to 3,300 and 7,018
Double scale
Find third proportional to 1,652 and 3,513
Similar ratio
Find third proportional to 2,475 and 5,263.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.