Home / 5,342-8,302

Finding the Third Proportional to 5,342 and 8,302

Calculator

Solution

The third proportional to 5,342 and 8,302 is: 12,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342 : 8,302 = 8,302 : x
  2. Step 2: Convert to fraction form
    5,342/8,302 = 8,302/x
  3. Step 3: Cross multiply
    5,342x = 8,302 × 8,302
  4. Step 4: Simplify right side
    5,342x = 68,923,204
  5. Step 5: Solve for x
    x = 68,923,204/5,342
  6. Step 6: Final answer
    x = 12,902.13

Related Problems

Find third proportional to 2,671 and 4,151
Half scale
Find third proportional to 10,684 and 16,604
Double scale
Find third proportional to 5,344 and 8,305
Similar ratio
Find third proportional to 8,013 and 12,453
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.