Home / 6,784-7,252

Finding the Third Proportional to 6,784 and 7,252

Calculator

Solution

The third proportional to 6,784 and 7,252 is: 7,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 7,252 = 7,252 : x
  2. Step 2: Convert to fraction form
    6,784/7,252 = 7,252/x
  3. Step 3: Cross multiply
    6,784x = 7,252 × 7,252
  4. Step 4: Simplify right side
    6,784x = 52,591,504
  5. Step 5: Solve for x
    x = 52,591,504/6,784
  6. Step 6: Final answer
    x = 7,752.29

Related Problems

Find third proportional to 3,392 and 3,626
Half scale
Find third proportional to 13,568 and 14,504
Double scale
Find third proportional to 6,786 and 7,254
Similar ratio
Find third proportional to 10,176 and 10,878
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.