Home / 14,699-16,198

Finding the Third Proportional to 14,699 and 16,198

Calculator

Solution

The third proportional to 14,699 and 16,198 is: 17,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699 : 16,198 = 16,198 : x
  2. Step 2: Convert to fraction form
    14,699/16,198 = 16,198/x
  3. Step 3: Cross multiply
    14,699x = 16,198 × 16,198
  4. Step 4: Simplify right side
    14,699x = 262,375,204
  5. Step 5: Solve for x
    x = 262,375,204/14,699
  6. Step 6: Final answer
    x = 17,849.87

Related Problems

Find third proportional to 7,349.50 and 8,099
Half scale
Find third proportional to 29,398 and 32,396
Double scale
Find third proportional to 14,701 and 16,200
Similar ratio
Find third proportional to 22,048.50 and 24,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.