Home / 3,174-8,259

Finding the Third Proportional to 3,174 and 8,259

Calculator

Solution

The third proportional to 3,174 and 8,259 is: 21,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 8,259 = 8,259 : x
  2. Step 2: Convert to fraction form
    3,174/8,259 = 8,259/x
  3. Step 3: Cross multiply
    3,174x = 8,259 × 8,259
  4. Step 4: Simplify right side
    3,174x = 68,211,081
  5. Step 5: Solve for x
    x = 68,211,081/3,174
  6. Step 6: Final answer
    x = 21,490.57

Related Problems

Find third proportional to 1,587 and 4,129.50
Half scale
Find third proportional to 6,348 and 16,518
Double scale
Find third proportional to 3,176 and 8,264
Similar ratio
Find third proportional to 4,761 and 12,388.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.