Home / 2,142-3,669

Finding the Third Proportional to 2,142 and 3,669

Calculator

Solution

The third proportional to 2,142 and 3,669 is: 6,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,669 = 3,669 : x
  2. Step 2: Convert to fraction form
    2,142/3,669 = 3,669/x
  3. Step 3: Cross multiply
    2,142x = 3,669 × 3,669
  4. Step 4: Simplify right side
    2,142x = 13,461,561
  5. Step 5: Solve for x
    x = 13,461,561/2,142
  6. Step 6: Final answer
    x = 6,284.58

Related Problems

Find third proportional to 1,071 and 1,834.50
Half scale
Find third proportional to 4,284 and 7,338
Double scale
Find third proportional to 2,144 and 3,672
Similar ratio
Find third proportional to 3,213 and 5,503.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.