Home / 2,054-3,098

Finding the Third Proportional to 2,054 and 3,098

Calculator

Solution

The third proportional to 2,054 and 3,098 is: 4,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 3,098 = 3,098 : x
  2. Step 2: Convert to fraction form
    2,054/3,098 = 3,098/x
  3. Step 3: Cross multiply
    2,054x = 3,098 × 3,098
  4. Step 4: Simplify right side
    2,054x = 9,597,604
  5. Step 5: Solve for x
    x = 9,597,604/2,054
  6. Step 6: Final answer
    x = 4,672.64

Related Problems

Find third proportional to 1,027 and 1,549
Half scale
Find third proportional to 4,108 and 6,196
Double scale
Find third proportional to 2,056 and 3,101
Similar ratio
Find third proportional to 3,081 and 4,647
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.