Home / 8,001-14,409

Finding the Third Proportional to 8,001 and 14,409

Calculator

Solution

The third proportional to 8,001 and 14,409 is: 25,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 14,409 = 14,409 : x
  2. Step 2: Convert to fraction form
    8,001/14,409 = 14,409/x
  3. Step 3: Cross multiply
    8,001x = 14,409 × 14,409
  4. Step 4: Simplify right side
    8,001x = 207,619,281
  5. Step 5: Solve for x
    x = 207,619,281/8,001
  6. Step 6: Final answer
    x = 25,949.17

Related Problems

Find third proportional to 4,000.50 and 7,204.50
Half scale
Find third proportional to 16,002 and 28,818
Double scale
Find third proportional to 8,003 and 14,413
Similar ratio
Find third proportional to 12,001.50 and 21,613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.