Home / 6,512-9,840

Finding the Third Proportional to 6,512 and 9,840

Calculator

Solution

The third proportional to 6,512 and 9,840 is: 14,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,840 = 9,840 : x
  2. Step 2: Convert to fraction form
    6,512/9,840 = 9,840/x
  3. Step 3: Cross multiply
    6,512x = 9,840 × 9,840
  4. Step 4: Simplify right side
    6,512x = 96,825,600
  5. Step 5: Solve for x
    x = 96,825,600/6,512
  6. Step 6: Final answer
    x = 14,868.80

Related Problems

Find third proportional to 3,256 and 4,920
Half scale
Find third proportional to 13,024 and 19,680
Double scale
Find third proportional to 6,514 and 9,843
Similar ratio
Find third proportional to 9,768 and 14,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.