Home / 6,830-9,673

Finding the Third Proportional to 6,830 and 9,673

Calculator

Solution

The third proportional to 6,830 and 9,673 is: 13,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 9,673 = 9,673 : x
  2. Step 2: Convert to fraction form
    6,830/9,673 = 9,673/x
  3. Step 3: Cross multiply
    6,830x = 9,673 × 9,673
  4. Step 4: Simplify right side
    6,830x = 93,566,929
  5. Step 5: Solve for x
    x = 93,566,929/6,830
  6. Step 6: Final answer
    x = 13,699.40

Related Problems

Find third proportional to 3,415 and 4,836.50
Half scale
Find third proportional to 13,660 and 19,346
Double scale
Find third proportional to 6,832 and 9,676
Similar ratio
Find third proportional to 10,245 and 14,509.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.