Home / 1,802-2,283

Finding the Third Proportional to 1,802 and 2,283

Calculator

Solution

The third proportional to 1,802 and 2,283 is: 2,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802 : 2,283 = 2,283 : x
  2. Step 2: Convert to fraction form
    1,802/2,283 = 2,283/x
  3. Step 3: Cross multiply
    1,802x = 2,283 × 2,283
  4. Step 4: Simplify right side
    1,802x = 5,212,089
  5. Step 5: Solve for x
    x = 5,212,089/1,802
  6. Step 6: Final answer
    x = 2,892.39

Related Problems

Find third proportional to 901 and 1,141.50
Half scale
Find third proportional to 3,604 and 4,566
Double scale
Find third proportional to 1,804 and 2,286
Similar ratio
Find third proportional to 2,703 and 3,424.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.