Home / 2,280-3,420

Finding the Third Proportional to 2,280 and 3,420

Calculator

Solution

The third proportional to 2,280 and 3,420 is: 5,130

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280 : 3,420 = 3,420 : x
  2. Step 2: Convert to fraction form
    2,280/3,420 = 3,420/x
  3. Step 3: Cross multiply
    2,280x = 3,420 × 3,420
  4. Step 4: Simplify right side
    2,280x = 11,696,400
  5. Step 5: Solve for x
    x = 11,696,400/2,280
  6. Step 6: Final answer
    x = 5,130

Related Problems

Find third proportional to 1,140 and 1,710
Half scale
Find third proportional to 4,560 and 6,840
Double scale
Find third proportional to 2,282 and 3,423
Similar ratio
Find third proportional to 3,420 and 5,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.