Home / 2,580-4,102

Finding the Third Proportional to 2,580 and 4,102

Calculator

Solution

The third proportional to 2,580 and 4,102 is: 6,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 4,102 = 4,102 : x
  2. Step 2: Convert to fraction form
    2,580/4,102 = 4,102/x
  3. Step 3: Cross multiply
    2,580x = 4,102 × 4,102
  4. Step 4: Simplify right side
    2,580x = 16,826,404
  5. Step 5: Solve for x
    x = 16,826,404/2,580
  6. Step 6: Final answer
    x = 6,521.86

Related Problems

Find third proportional to 1,290 and 2,051
Half scale
Find third proportional to 5,160 and 8,204
Double scale
Find third proportional to 2,582 and 4,105
Similar ratio
Find third proportional to 3,870 and 6,153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.