Home / 9,684-14,206

Finding the Third Proportional to 9,684 and 14,206

Calculator

Solution

The third proportional to 9,684 and 14,206 is: 20,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,206 = 14,206 : x
  2. Step 2: Convert to fraction form
    9,684/14,206 = 14,206/x
  3. Step 3: Cross multiply
    9,684x = 14,206 × 14,206
  4. Step 4: Simplify right side
    9,684x = 201,810,436
  5. Step 5: Solve for x
    x = 201,810,436/9,684
  6. Step 6: Final answer
    x = 20,839.57

Related Problems

Find third proportional to 4,842 and 7,103
Half scale
Find third proportional to 19,368 and 28,412
Double scale
Find third proportional to 9,686 and 14,209
Similar ratio
Find third proportional to 14,526 and 21,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.