Home / 1,850-3,412

Finding the Third Proportional to 1,850 and 3,412

Calculator

Solution

The third proportional to 1,850 and 3,412 is: 6,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850 : 3,412 = 3,412 : x
  2. Step 2: Convert to fraction form
    1,850/3,412 = 3,412/x
  3. Step 3: Cross multiply
    1,850x = 3,412 × 3,412
  4. Step 4: Simplify right side
    1,850x = 11,641,744
  5. Step 5: Solve for x
    x = 11,641,744/1,850
  6. Step 6: Final answer
    x = 6,292.83

Related Problems

Find third proportional to 925 and 1,706
Half scale
Find third proportional to 3,700 and 6,824
Double scale
Find third proportional to 1,852 and 3,416
Similar ratio
Find third proportional to 2,775 and 5,118
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.