Home / 6,578-7,282

Finding the Third Proportional to 6,578 and 7,282

Calculator

Solution

The third proportional to 6,578 and 7,282 is: 8,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 7,282 = 7,282 : x
  2. Step 2: Convert to fraction form
    6,578/7,282 = 7,282/x
  3. Step 3: Cross multiply
    6,578x = 7,282 × 7,282
  4. Step 4: Simplify right side
    6,578x = 53,027,524
  5. Step 5: Solve for x
    x = 53,027,524/6,578
  6. Step 6: Final answer
    x = 8,061.34

Related Problems

Find third proportional to 3,289 and 3,641
Half scale
Find third proportional to 13,156 and 14,564
Double scale
Find third proportional to 6,580 and 7,284
Similar ratio
Find third proportional to 9,867 and 10,923
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.