Home / 9,666-20,169

Finding the Third Proportional to 9,666 and 20,169

Calculator

Solution

The third proportional to 9,666 and 20,169 is: 42,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 20,169 = 20,169 : x
  2. Step 2: Convert to fraction form
    9,666/20,169 = 20,169/x
  3. Step 3: Cross multiply
    9,666x = 20,169 × 20,169
  4. Step 4: Simplify right side
    9,666x = 406,788,561
  5. Step 5: Solve for x
    x = 406,788,561/9,666
  6. Step 6: Final answer
    x = 42,084.48

Related Problems

Find third proportional to 4,833 and 10,084.50
Half scale
Find third proportional to 19,332 and 40,338
Double scale
Find third proportional to 9,668 and 20,173
Similar ratio
Find third proportional to 14,499 and 30,253.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.