Home / 6,496-9,500

Finding the Third Proportional to 6,496 and 9,500

Calculator

Solution

The third proportional to 6,496 and 9,500 is: 13,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 9,500 = 9,500 : x
  2. Step 2: Convert to fraction form
    6,496/9,500 = 9,500/x
  3. Step 3: Cross multiply
    6,496x = 9,500 × 9,500
  4. Step 4: Simplify right side
    6,496x = 90,250,000
  5. Step 5: Solve for x
    x = 90,250,000/6,496
  6. Step 6: Final answer
    x = 13,893.17

Related Problems

Find third proportional to 3,248 and 4,750
Half scale
Find third proportional to 12,992 and 19,000
Double scale
Find third proportional to 6,498 and 9,503
Similar ratio
Find third proportional to 9,744 and 14,250
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.