Home / 1,504-1,902

Finding the Third Proportional to 1,504 and 1,902

Calculator

Solution

The third proportional to 1,504 and 1,902 is: 2,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504 : 1,902 = 1,902 : x
  2. Step 2: Convert to fraction form
    1,504/1,902 = 1,902/x
  3. Step 3: Cross multiply
    1,504x = 1,902 × 1,902
  4. Step 4: Simplify right side
    1,504x = 3,617,604
  5. Step 5: Solve for x
    x = 3,617,604/1,504
  6. Step 6: Final answer
    x = 2,405.32

Related Problems

Find third proportional to 752 and 951
Half scale
Find third proportional to 3,008 and 3,804
Double scale
Find third proportional to 1,506 and 1,905
Similar ratio
Find third proportional to 2,256 and 2,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.