Home / 6,902-8,402

Finding the Third Proportional to 6,902 and 8,402

Calculator

Solution

The third proportional to 6,902 and 8,402 is: 10,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 8,402 = 8,402 : x
  2. Step 2: Convert to fraction form
    6,902/8,402 = 8,402/x
  3. Step 3: Cross multiply
    6,902x = 8,402 × 8,402
  4. Step 4: Simplify right side
    6,902x = 70,593,604
  5. Step 5: Solve for x
    x = 70,593,604/6,902
  6. Step 6: Final answer
    x = 10,227.99

Related Problems

Find third proportional to 3,451 and 4,201
Half scale
Find third proportional to 13,804 and 16,804
Double scale
Find third proportional to 6,904 and 8,404
Similar ratio
Find third proportional to 10,353 and 12,603
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.