Home / 8,398-19,465

Finding the Third Proportional to 8,398 and 19,465

Calculator

Solution

The third proportional to 8,398 and 19,465 is: 45,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 19,465 = 19,465 : x
  2. Step 2: Convert to fraction form
    8,398/19,465 = 19,465/x
  3. Step 3: Cross multiply
    8,398x = 19,465 × 19,465
  4. Step 4: Simplify right side
    8,398x = 378,886,225
  5. Step 5: Solve for x
    x = 378,886,225/8,398
  6. Step 6: Final answer
    x = 45,116.24

Related Problems

Find third proportional to 4,199 and 9,732.50
Half scale
Find third proportional to 16,796 and 38,930
Double scale
Find third proportional to 8,400 and 19,470
Similar ratio
Find third proportional to 12,597 and 29,197.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.