Home / 5,213-9,265

Finding the Third Proportional to 5,213 and 9,265

Calculator

Solution

The third proportional to 5,213 and 9,265 is: 16,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 9,265 = 9,265 : x
  2. Step 2: Convert to fraction form
    5,213/9,265 = 9,265/x
  3. Step 3: Cross multiply
    5,213x = 9,265 × 9,265
  4. Step 4: Simplify right side
    5,213x = 85,840,225
  5. Step 5: Solve for x
    x = 85,840,225/5,213
  6. Step 6: Final answer
    x = 16,466.57

Related Problems

Find third proportional to 2,606.50 and 4,632.50
Half scale
Find third proportional to 10,426 and 18,530
Double scale
Find third proportional to 5,215 and 9,269
Similar ratio
Find third proportional to 7,819.50 and 13,897.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.