Home / 2,166-2,557.50

Finding the Third Proportional to 2,166 and 2,557.50

Calculator

Solution

The third proportional to 2,166 and 2,557.50 is: 3,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166 : 2,557.50 = 2,557.50 : x
  2. Step 2: Convert to fraction form
    2,166/2,557.50 = 2,557.50/x
  3. Step 3: Cross multiply
    2,166x = 2,557.50 × 2,557.50
  4. Step 4: Simplify right side
    2,166x = 6,540,806.25
  5. Step 5: Solve for x
    x = 6,540,806.25/2,166
  6. Step 6: Final answer
    x = 3,019.76

Related Problems

Find third proportional to 1,083 and 1,278.75
Half scale
Find third proportional to 4,332 and 5,115
Double scale
Find third proportional to 2,168 and 2,560
Similar ratio
Find third proportional to 3,249 and 3,836.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.