Home / 1,682-1,822

Finding the Third Proportional to 1,682 and 1,822

Calculator

Solution

The third proportional to 1,682 and 1,822 is: 1,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 1,822 = 1,822 : x
  2. Step 2: Convert to fraction form
    1,682/1,822 = 1,822/x
  3. Step 3: Cross multiply
    1,682x = 1,822 × 1,822
  4. Step 4: Simplify right side
    1,682x = 3,319,684
  5. Step 5: Solve for x
    x = 3,319,684/1,682
  6. Step 6: Final answer
    x = 1,973.65

Related Problems

Find third proportional to 841 and 911
Half scale
Find third proportional to 3,364 and 3,644
Double scale
Find third proportional to 1,684 and 1,824
Similar ratio
Find third proportional to 2,523 and 2,733
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.