Home / 3,384-5,102

Finding the Third Proportional to 3,384 and 5,102

Calculator

Solution

The third proportional to 3,384 and 5,102 is: 7,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 5,102 = 5,102 : x
  2. Step 2: Convert to fraction form
    3,384/5,102 = 5,102/x
  3. Step 3: Cross multiply
    3,384x = 5,102 × 5,102
  4. Step 4: Simplify right side
    3,384x = 26,030,404
  5. Step 5: Solve for x
    x = 26,030,404/3,384
  6. Step 6: Final answer
    x = 7,692.20

Related Problems

Find third proportional to 1,692 and 2,551
Half scale
Find third proportional to 6,768 and 10,204
Double scale
Find third proportional to 3,386 and 5,105
Similar ratio
Find third proportional to 5,076 and 7,653
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.