Home / 6,354-9,714

Finding the Third Proportional to 6,354 and 9,714

Calculator

Solution

The third proportional to 6,354 and 9,714 is: 14,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354 : 9,714 = 9,714 : x
  2. Step 2: Convert to fraction form
    6,354/9,714 = 9,714/x
  3. Step 3: Cross multiply
    6,354x = 9,714 × 9,714
  4. Step 4: Simplify right side
    6,354x = 94,361,796
  5. Step 5: Solve for x
    x = 94,361,796/6,354
  6. Step 6: Final answer
    x = 14,850.77

Related Problems

Find third proportional to 3,177 and 4,857
Half scale
Find third proportional to 12,708 and 19,428
Double scale
Find third proportional to 6,356 and 9,717
Similar ratio
Find third proportional to 9,531 and 14,571
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.