Home / 9,000-19,097

Finding the Third Proportional to 9,000 and 19,097

Calculator

Solution

The third proportional to 9,000 and 19,097 is: 40,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 19,097 = 19,097 : x
  2. Step 2: Convert to fraction form
    9,000/19,097 = 19,097/x
  3. Step 3: Cross multiply
    9,000x = 19,097 × 19,097
  4. Step 4: Simplify right side
    9,000x = 364,695,409
  5. Step 5: Solve for x
    x = 364,695,409/9,000
  6. Step 6: Final answer
    x = 40,521.71

Related Problems

Find third proportional to 4,500 and 9,548.50
Half scale
Find third proportional to 18,000 and 38,194
Double scale
Find third proportional to 9,002 and 19,101
Similar ratio
Find third proportional to 13,500 and 28,645.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.