Home / 3,642-6,842

Finding the Third Proportional to 3,642 and 6,842

Calculator

Solution

The third proportional to 3,642 and 6,842 is: 12,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 6,842 = 6,842 : x
  2. Step 2: Convert to fraction form
    3,642/6,842 = 6,842/x
  3. Step 3: Cross multiply
    3,642x = 6,842 × 6,842
  4. Step 4: Simplify right side
    3,642x = 46,812,964
  5. Step 5: Solve for x
    x = 46,812,964/3,642
  6. Step 6: Final answer
    x = 12,853.64

Related Problems

Find third proportional to 1,821 and 3,421
Half scale
Find third proportional to 7,284 and 13,684
Double scale
Find third proportional to 3,644 and 6,846
Similar ratio
Find third proportional to 5,463 and 10,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.