Home / 102,198-219,934.50

Finding the Third Proportional to 102,198 and 219,934.50

Calculator

Solution

The third proportional to 102,198 and 219,934.50 is: 473,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198 : 219,934.50 = 219,934.50 : x
  2. Step 2: Convert to fraction form
    102,198/219,934.50 = 219,934.50/x
  3. Step 3: Cross multiply
    102,198x = 219,934.50 × 219,934.50
  4. Step 4: Simplify right side
    102,198x = 48,371,184,290.25
  5. Step 5: Solve for x
    x = 48,371,184,290.25/102,198
  6. Step 6: Final answer
    x = 473,308.52

Related Problems

Find third proportional to 51,099 and 109,967.25
Half scale
Find third proportional to 204,396 and 439,869
Double scale
Find third proportional to 102,200 and 219,939
Similar ratio
Find third proportional to 153,297 and 329,901.75
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.