Home / 9,721-20,065

Finding the Third Proportional to 9,721 and 20,065

Calculator

Solution

The third proportional to 9,721 and 20,065 is: 41,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721 : 20,065 = 20,065 : x
  2. Step 2: Convert to fraction form
    9,721/20,065 = 20,065/x
  3. Step 3: Cross multiply
    9,721x = 20,065 × 20,065
  4. Step 4: Simplify right side
    9,721x = 402,604,225
  5. Step 5: Solve for x
    x = 402,604,225/9,721
  6. Step 6: Final answer
    x = 41,415.93

Related Problems

Find third proportional to 4,860.50 and 10,032.50
Half scale
Find third proportional to 19,442 and 40,130
Double scale
Find third proportional to 9,723 and 20,069
Similar ratio
Find third proportional to 14,581.50 and 30,097.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.