Home / 2,202-2,421

Finding the Third Proportional to 2,202 and 2,421

Calculator

Solution

The third proportional to 2,202 and 2,421 is: 2,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 2,421 = 2,421 : x
  2. Step 2: Convert to fraction form
    2,202/2,421 = 2,421/x
  3. Step 3: Cross multiply
    2,202x = 2,421 × 2,421
  4. Step 4: Simplify right side
    2,202x = 5,861,241
  5. Step 5: Solve for x
    x = 5,861,241/2,202
  6. Step 6: Final answer
    x = 2,661.78

Related Problems

Find third proportional to 1,101 and 1,210.50
Half scale
Find third proportional to 4,404 and 4,842
Double scale
Find third proportional to 2,204 and 2,423
Similar ratio
Find third proportional to 3,303 and 3,631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.