Home / 2,982-7,211

Finding the Third Proportional to 2,982 and 7,211

Calculator

Solution

The third proportional to 2,982 and 7,211 is: 17,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 7,211 = 7,211 : x
  2. Step 2: Convert to fraction form
    2,982/7,211 = 7,211/x
  3. Step 3: Cross multiply
    2,982x = 7,211 × 7,211
  4. Step 4: Simplify right side
    2,982x = 51,998,521
  5. Step 5: Solve for x
    x = 51,998,521/2,982
  6. Step 6: Final answer
    x = 17,437.47

Related Problems

Find third proportional to 1,491 and 3,605.50
Half scale
Find third proportional to 5,964 and 14,422
Double scale
Find third proportional to 2,984 and 7,216
Similar ratio
Find third proportional to 4,473 and 10,816.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.