Home / 2,073-3,642

Finding the Third Proportional to 2,073 and 3,642

Calculator

Solution

The third proportional to 2,073 and 3,642 is: 6,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073 : 3,642 = 3,642 : x
  2. Step 2: Convert to fraction form
    2,073/3,642 = 3,642/x
  3. Step 3: Cross multiply
    2,073x = 3,642 × 3,642
  4. Step 4: Simplify right side
    2,073x = 13,264,164
  5. Step 5: Solve for x
    x = 13,264,164/2,073
  6. Step 6: Final answer
    x = 6,398.54

Related Problems

Find third proportional to 1,036.50 and 1,821
Half scale
Find third proportional to 4,146 and 7,284
Double scale
Find third proportional to 2,075 and 3,646
Similar ratio
Find third proportional to 3,109.50 and 5,463
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.