Home / 218,815-320,417

Finding the Third Proportional to 218,815 and 320,417

Calculator

Solution

The third proportional to 218,815 and 320,417 is: 469,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,815 : 320,417 = 320,417 : x
  2. Step 2: Convert to fraction form
    218,815/320,417 = 320,417/x
  3. Step 3: Cross multiply
    218,815x = 320,417 × 320,417
  4. Step 4: Simplify right side
    218,815x = 102,667,053,889
  5. Step 5: Solve for x
    x = 102,667,053,889/218,815
  6. Step 6: Final answer
    x = 469,195.69

Related Problems

Find third proportional to 109,407.50 and 160,208.50
Half scale
Find third proportional to 437,630 and 640,834
Double scale
Find third proportional to 218,817 and 320,420
Similar ratio
Find third proportional to 328,222.50 and 480,625.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.