Home / 9,828-15,201

Finding the Third Proportional to 9,828 and 15,201

Calculator

Solution

The third proportional to 9,828 and 15,201 is: 23,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 15,201 = 15,201 : x
  2. Step 2: Convert to fraction form
    9,828/15,201 = 15,201/x
  3. Step 3: Cross multiply
    9,828x = 15,201 × 15,201
  4. Step 4: Simplify right side
    9,828x = 231,070,401
  5. Step 5: Solve for x
    x = 231,070,401/9,828
  6. Step 6: Final answer
    x = 23,511.44

Related Problems

Find third proportional to 4,914 and 7,600.50
Half scale
Find third proportional to 19,656 and 30,402
Double scale
Find third proportional to 9,830 and 15,204
Similar ratio
Find third proportional to 14,742 and 22,801.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.