Home / 11,700-16,706

Finding the Third Proportional to 11,700 and 16,706

Calculator

Solution

The third proportional to 11,700 and 16,706 is: 23,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 16,706 = 16,706 : x
  2. Step 2: Convert to fraction form
    11,700/16,706 = 16,706/x
  3. Step 3: Cross multiply
    11,700x = 16,706 × 16,706
  4. Step 4: Simplify right side
    11,700x = 279,090,436
  5. Step 5: Solve for x
    x = 279,090,436/11,700
  6. Step 6: Final answer
    x = 23,853.88

Related Problems

Find third proportional to 5,850 and 8,353
Half scale
Find third proportional to 23,400 and 33,412
Double scale
Find third proportional to 11,702 and 16,709
Similar ratio
Find third proportional to 17,550 and 25,059
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.