Home / 6,502-14,324

Finding the Third Proportional to 6,502 and 14,324

Calculator

Solution

The third proportional to 6,502 and 14,324 is: 31,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 14,324 = 14,324 : x
  2. Step 2: Convert to fraction form
    6,502/14,324 = 14,324/x
  3. Step 3: Cross multiply
    6,502x = 14,324 × 14,324
  4. Step 4: Simplify right side
    6,502x = 205,176,976
  5. Step 5: Solve for x
    x = 205,176,976/6,502
  6. Step 6: Final answer
    x = 31,555.98

Related Problems

Find third proportional to 3,251 and 7,162
Half scale
Find third proportional to 13,004 and 28,648
Double scale
Find third proportional to 6,504 and 14,328
Similar ratio
Find third proportional to 9,753 and 21,486
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.