Home / 2,190-2,412

Finding the Third Proportional to 2,190 and 2,412

Calculator

Solution

The third proportional to 2,190 and 2,412 is: 2,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 2,412 = 2,412 : x
  2. Step 2: Convert to fraction form
    2,190/2,412 = 2,412/x
  3. Step 3: Cross multiply
    2,190x = 2,412 × 2,412
  4. Step 4: Simplify right side
    2,190x = 5,817,744
  5. Step 5: Solve for x
    x = 5,817,744/2,190
  6. Step 6: Final answer
    x = 2,656.50

Related Problems

Find third proportional to 1,095 and 1,206
Half scale
Find third proportional to 4,380 and 4,824
Double scale
Find third proportional to 2,192 and 2,414
Similar ratio
Find third proportional to 3,285 and 3,618
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.