Home / 9,099-19,511

Finding the Third Proportional to 9,099 and 19,511

Calculator

Solution

The third proportional to 9,099 and 19,511 is: 41,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099 : 19,511 = 19,511 : x
  2. Step 2: Convert to fraction form
    9,099/19,511 = 19,511/x
  3. Step 3: Cross multiply
    9,099x = 19,511 × 19,511
  4. Step 4: Simplify right side
    9,099x = 380,679,121
  5. Step 5: Solve for x
    x = 380,679,121/9,099
  6. Step 6: Final answer
    x = 41,837.47

Related Problems

Find third proportional to 4,549.50 and 9,755.50
Half scale
Find third proportional to 18,198 and 39,022
Double scale
Find third proportional to 9,101 and 19,515
Similar ratio
Find third proportional to 13,648.50 and 29,266.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.