Home / 3,415-5,222

Finding the Third Proportional to 3,415 and 5,222

Calculator

Solution

The third proportional to 3,415 and 5,222 is: 7,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 5,222 = 5,222 : x
  2. Step 2: Convert to fraction form
    3,415/5,222 = 5,222/x
  3. Step 3: Cross multiply
    3,415x = 5,222 × 5,222
  4. Step 4: Simplify right side
    3,415x = 27,269,284
  5. Step 5: Solve for x
    x = 27,269,284/3,415
  6. Step 6: Final answer
    x = 7,985.15

Related Problems

Find third proportional to 1,707.50 and 2,611
Half scale
Find third proportional to 6,830 and 10,444
Double scale
Find third proportional to 3,417 and 5,225
Similar ratio
Find third proportional to 5,122.50 and 7,833
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.