Home / 2,214-2,982

Finding the Third Proportional to 2,214 and 2,982

Calculator

Solution

The third proportional to 2,214 and 2,982 is: 4,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 2,982 = 2,982 : x
  2. Step 2: Convert to fraction form
    2,214/2,982 = 2,982/x
  3. Step 3: Cross multiply
    2,214x = 2,982 × 2,982
  4. Step 4: Simplify right side
    2,214x = 8,892,324
  5. Step 5: Solve for x
    x = 8,892,324/2,214
  6. Step 6: Final answer
    x = 4,016.41

Related Problems

Find third proportional to 1,107 and 1,491
Half scale
Find third proportional to 4,428 and 5,964
Double scale
Find third proportional to 2,216 and 2,985
Similar ratio
Find third proportional to 3,321 and 4,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.