Home / 2,046-3,120

Finding the Third Proportional to 2,046 and 3,120

Calculator

Solution

The third proportional to 2,046 and 3,120 is: 4,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,120 = 3,120 : x
  2. Step 2: Convert to fraction form
    2,046/3,120 = 3,120/x
  3. Step 3: Cross multiply
    2,046x = 3,120 × 3,120
  4. Step 4: Simplify right side
    2,046x = 9,734,400
  5. Step 5: Solve for x
    x = 9,734,400/2,046
  6. Step 6: Final answer
    x = 4,757.77

Related Problems

Find third proportional to 1,023 and 1,560
Half scale
Find third proportional to 4,092 and 6,240
Double scale
Find third proportional to 2,048 and 3,123
Similar ratio
Find third proportional to 3,069 and 4,680
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.