Home / 3,140-5,170

Finding the Third Proportional to 3,140 and 5,170

Calculator

Solution

The third proportional to 3,140 and 5,170 is: 8,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 5,170 = 5,170 : x
  2. Step 2: Convert to fraction form
    3,140/5,170 = 5,170/x
  3. Step 3: Cross multiply
    3,140x = 5,170 × 5,170
  4. Step 4: Simplify right side
    3,140x = 26,728,900
  5. Step 5: Solve for x
    x = 26,728,900/3,140
  6. Step 6: Final answer
    x = 8,512.39

Related Problems

Find third proportional to 1,570 and 2,585
Half scale
Find third proportional to 6,280 and 10,340
Double scale
Find third proportional to 3,142 and 5,173
Similar ratio
Find third proportional to 4,710 and 7,755
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.