Home / 6,514-9,649

Finding the Third Proportional to 6,514 and 9,649

Calculator

Solution

The third proportional to 6,514 and 9,649 is: 14,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 9,649 = 9,649 : x
  2. Step 2: Convert to fraction form
    6,514/9,649 = 9,649/x
  3. Step 3: Cross multiply
    6,514x = 9,649 × 9,649
  4. Step 4: Simplify right side
    6,514x = 93,103,201
  5. Step 5: Solve for x
    x = 93,103,201/6,514
  6. Step 6: Final answer
    x = 14,292.78

Related Problems

Find third proportional to 3,257 and 4,824.50
Half scale
Find third proportional to 13,028 and 19,298
Double scale
Find third proportional to 6,516 and 9,652
Similar ratio
Find third proportional to 9,771 and 14,473.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.