Home / 1,684-2,169

Finding the Third Proportional to 1,684 and 2,169

Calculator

Solution

The third proportional to 1,684 and 2,169 is: 2,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,169 = 2,169 : x
  2. Step 2: Convert to fraction form
    1,684/2,169 = 2,169/x
  3. Step 3: Cross multiply
    1,684x = 2,169 × 2,169
  4. Step 4: Simplify right side
    1,684x = 4,704,561
  5. Step 5: Solve for x
    x = 4,704,561/1,684
  6. Step 6: Final answer
    x = 2,793.68

Related Problems

Find third proportional to 842 and 1,084.50
Half scale
Find third proportional to 3,368 and 4,338
Double scale
Find third proportional to 1,686 and 2,172
Similar ratio
Find third proportional to 2,526 and 3,253.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.