Home / 2,232-2,982

Finding the Third Proportional to 2,232 and 2,982

Calculator

Solution

The third proportional to 2,232 and 2,982 is: 3,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232 : 2,982 = 2,982 : x
  2. Step 2: Convert to fraction form
    2,232/2,982 = 2,982/x
  3. Step 3: Cross multiply
    2,232x = 2,982 × 2,982
  4. Step 4: Simplify right side
    2,232x = 8,892,324
  5. Step 5: Solve for x
    x = 8,892,324/2,232
  6. Step 6: Final answer
    x = 3,984.02

Related Problems

Find third proportional to 1,116 and 1,491
Half scale
Find third proportional to 4,464 and 5,964
Double scale
Find third proportional to 2,234 and 2,985
Similar ratio
Find third proportional to 3,348 and 4,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.