Home / 102,016-219,520

Finding the Third Proportional to 102,016 and 219,520

Calculator

Solution

The third proportional to 102,016 and 219,520 is: 472,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016 : 219,520 = 219,520 : x
  2. Step 2: Convert to fraction form
    102,016/219,520 = 219,520/x
  3. Step 3: Cross multiply
    102,016x = 219,520 × 219,520
  4. Step 4: Simplify right side
    102,016x = 48,189,030,400
  5. Step 5: Solve for x
    x = 48,189,030,400/102,016
  6. Step 6: Final answer
    x = 472,367.38

Related Problems

Find third proportional to 51,008 and 109,760
Half scale
Find third proportional to 204,032 and 439,040
Double scale
Find third proportional to 102,018 and 219,524
Similar ratio
Find third proportional to 153,024 and 329,280
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.