Home / 6,980-9,996

Finding the Third Proportional to 6,980 and 9,996

Calculator

Solution

The third proportional to 6,980 and 9,996 is: 14,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 9,996 = 9,996 : x
  2. Step 2: Convert to fraction form
    6,980/9,996 = 9,996/x
  3. Step 3: Cross multiply
    6,980x = 9,996 × 9,996
  4. Step 4: Simplify right side
    6,980x = 99,920,016
  5. Step 5: Solve for x
    x = 99,920,016/6,980
  6. Step 6: Final answer
    x = 14,315.19

Related Problems

Find third proportional to 3,490 and 4,998
Half scale
Find third proportional to 13,960 and 19,992
Double scale
Find third proportional to 6,982 and 9,999
Similar ratio
Find third proportional to 10,470 and 14,994
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.