Home / 7,564-16,399

Finding the Third Proportional to 7,564 and 16,399

Calculator

Solution

The third proportional to 7,564 and 16,399 is: 35,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564 : 16,399 = 16,399 : x
  2. Step 2: Convert to fraction form
    7,564/16,399 = 16,399/x
  3. Step 3: Cross multiply
    7,564x = 16,399 × 16,399
  4. Step 4: Simplify right side
    7,564x = 268,927,201
  5. Step 5: Solve for x
    x = 268,927,201/7,564
  6. Step 6: Final answer
    x = 35,553.57

Related Problems

Find third proportional to 3,782 and 8,199.50
Half scale
Find third proportional to 15,128 and 32,798
Double scale
Find third proportional to 7,566 and 16,403
Similar ratio
Find third proportional to 11,346 and 24,598.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.