Home / 12,098-15,515

Finding the Third Proportional to 12,098 and 15,515

Calculator

Solution

The third proportional to 12,098 and 15,515 is: 19,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098 : 15,515 = 15,515 : x
  2. Step 2: Convert to fraction form
    12,098/15,515 = 15,515/x
  3. Step 3: Cross multiply
    12,098x = 15,515 × 15,515
  4. Step 4: Simplify right side
    12,098x = 240,715,225
  5. Step 5: Solve for x
    x = 240,715,225/12,098
  6. Step 6: Final answer
    x = 19,897.11

Related Problems

Find third proportional to 6,049 and 7,757.50
Half scale
Find third proportional to 24,196 and 31,030
Double scale
Find third proportional to 12,100 and 15,518
Similar ratio
Find third proportional to 18,147 and 23,272.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.