Home / 5,180-7,210

Finding the Third Proportional to 5,180 and 7,210

Calculator

Solution

The third proportional to 5,180 and 7,210 is: 10,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,210 = 7,210 : x
  2. Step 2: Convert to fraction form
    5,180/7,210 = 7,210/x
  3. Step 3: Cross multiply
    5,180x = 7,210 × 7,210
  4. Step 4: Simplify right side
    5,180x = 51,984,100
  5. Step 5: Solve for x
    x = 51,984,100/5,180
  6. Step 6: Final answer
    x = 10,035.54

Related Problems

Find third proportional to 2,590 and 3,605
Half scale
Find third proportional to 10,360 and 14,420
Double scale
Find third proportional to 5,182 and 7,213
Similar ratio
Find third proportional to 7,770 and 10,815
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.