Home / 6,497-14,133

Finding the Third Proportional to 6,497 and 14,133

Calculator

Solution

The third proportional to 6,497 and 14,133 is: 30,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497 : 14,133 = 14,133 : x
  2. Step 2: Convert to fraction form
    6,497/14,133 = 14,133/x
  3. Step 3: Cross multiply
    6,497x = 14,133 × 14,133
  4. Step 4: Simplify right side
    6,497x = 199,741,689
  5. Step 5: Solve for x
    x = 199,741,689/6,497
  6. Step 6: Final answer
    x = 30,743.68

Related Problems

Find third proportional to 3,248.50 and 7,066.50
Half scale
Find third proportional to 12,994 and 28,266
Double scale
Find third proportional to 6,499 and 14,137
Similar ratio
Find third proportional to 9,745.50 and 21,199.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.