Home / 6,982-9,876

Finding the Third Proportional to 6,982 and 9,876

Calculator

Solution

The third proportional to 6,982 and 9,876 is: 13,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982 : 9,876 = 9,876 : x
  2. Step 2: Convert to fraction form
    6,982/9,876 = 9,876/x
  3. Step 3: Cross multiply
    6,982x = 9,876 × 9,876
  4. Step 4: Simplify right side
    6,982x = 97,535,376
  5. Step 5: Solve for x
    x = 97,535,376/6,982
  6. Step 6: Final answer
    x = 13,969.55

Related Problems

Find third proportional to 3,491 and 4,938
Half scale
Find third proportional to 13,964 and 19,752
Double scale
Find third proportional to 6,984 and 9,879
Similar ratio
Find third proportional to 10,473 and 14,814
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.