Home / 5,203-11,459

Finding the Third Proportional to 5,203 and 11,459

Calculator

Solution

The third proportional to 5,203 and 11,459 is: 25,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203 : 11,459 = 11,459 : x
  2. Step 2: Convert to fraction form
    5,203/11,459 = 11,459/x
  3. Step 3: Cross multiply
    5,203x = 11,459 × 11,459
  4. Step 4: Simplify right side
    5,203x = 131,308,681
  5. Step 5: Solve for x
    x = 131,308,681/5,203
  6. Step 6: Final answer
    x = 25,237.11

Related Problems

Find third proportional to 2,601.50 and 5,729.50
Half scale
Find third proportional to 10,406 and 22,918
Double scale
Find third proportional to 5,205 and 11,463
Similar ratio
Find third proportional to 7,804.50 and 17,188.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.