Home / 2,582-4,157

Finding the Third Proportional to 2,582 and 4,157

Calculator

Solution

The third proportional to 2,582 and 4,157 is: 6,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 4,157 = 4,157 : x
  2. Step 2: Convert to fraction form
    2,582/4,157 = 4,157/x
  3. Step 3: Cross multiply
    2,582x = 4,157 × 4,157
  4. Step 4: Simplify right side
    2,582x = 17,280,649
  5. Step 5: Solve for x
    x = 17,280,649/2,582
  6. Step 6: Final answer
    x = 6,692.74

Related Problems

Find third proportional to 1,291 and 2,078.50
Half scale
Find third proportional to 5,164 and 8,314
Double scale
Find third proportional to 2,584 and 4,160
Similar ratio
Find third proportional to 3,873 and 6,235.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.